She planted [tex]\frac{3}{4}[/tex] arcs of each type
Step-by-step explanation:
The given is:
A farmer planted [tex]4\frac{1}{2}[/tex] acres of land with 6 types of wheatShe planted an equal amount of each type of wheatWe need to find how many acres of each type she planted
∵ The farmer planted [tex]4\frac{1}{2}[/tex] arcs of land
∵ She planted 6 types of wheat
∵ She planted an equal amount of each type of wheat
- Divide the total number of arcs by 6 to find the number of arcs
for each type
To divide the total number of arcs change it from the mixed number
[tex]4\frac{1}{2}[/tex] to improper fraction
∵ [tex]4\frac{1}{2}=\frac{(4*2)+1}{2}=\frac{9}{2}[/tex]
∴ The total number of arcs = [tex]\frac{9}{2}[/tex]
∴ The number of arcs of each type = [tex]\frac{9}{2}[/tex] ÷ 6
- Change the division sign to multiplication sign and reciprocal
the number after the division sign
∴ The number of arcs of each type = [tex]\frac{9}{2}[/tex] × [tex]\frac{1}{6}[/tex]
∴ The number of arcs of each type = [tex]\frac{9*1}{2*6}[/tex]
∴ The number of arcs of each type = [tex]\frac{9}{12}[/tex]
- Reduce the fraction by dividing up and down by 3
∴ The number of arcs of each type = [tex]\frac{3}{4}[/tex]
She planted [tex]\frac{3}{4}[/tex] arcs of each type
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Evaluate g(x) = x – 13 over the domain {2, 4, 6, 8). What is the range of g(x)2
Answer:
The range of g(x) = {-11,-9,-7,-5}.
Step-by-step explanation:
Given:
g(x) = x – 13 over the domain {2, 4, 6, 8).
Now, to evaluate:
Putting [tex]x=2[/tex]
[tex]g(2)=2-13=-11[/tex]
Putting [tex]x=4[/tex]
[tex]g(4)=4-13=-9[/tex]
Putting[tex]x=6[/tex]
[tex]g(6)=6-13=-7[/tex]
Putting [tex]x=8[/tex]
[tex]g(8)=8-13=-5[/tex]
So, the range is {-11,-9,-7,-5}.
Therefore, the range of g(x) = {-11,-9,-7,-5}.
population mean =72 and standard deviation =10, what is standard error of distribution of sample means for n=4 and n=25
Answer:
The standard error of distribution for n = 4 is 5 and for n = 25 is 2.
Step-by-step explanation:
1. Let's review the information given to us for solving the question:
Population mean = 72
Standard deviation = 10
Sample₁ = 4
Sample₂ = 25
2. For finding the standard error of the mean, we use the following formula:
Standard error = Standard deviation / √Size of the sample
Standard error for Sample₁ = 10/√4
Standard error for Sample₁ = 10/2 = 5
Now, let's find the standard error for Sample₂
Standard error for Sample₂ = 10/√25
Standard error for Sample₂ = 10/5 = 2
solve equation x(x-2) (x- 1) =0
Answer:
x = 0 or x = 1 or x = 2Step-by-step explanation:
The product is 0 if one of the factors is 0.
[tex]x(x - 2)(x - 1) = 0\iff x=0\ \vee\ x-2=0\ \vee\ x-1=0\\\\(1)\ x=0\\\\(2)\ x-2=0\qquad\text{add 2 to both sides}\\.\qquad x=2\\\\(3)\ x-1=0\qquad\text{add 1 to both sides}\\.\qquad x=1[/tex]
Find all solutions to the equation in the interval [0, 2π). (3 points) cos 4x - cos 2x = 0 0, two pi divided by three. , four pi divided by three. pi divided by six , pi divided by two , five pi divided by six , seven pi divided by six , three pi divided by two , eleven pi divided by six 0, pi divided by three. , two pi divided by three. , π, four pi divided by three. , five pi divided by three. No solution
Answer:
[tex]x=0,x=\pi,x=\frac{\pi}{3},x=\frac{2\pi}{3},x=\frac{4\pi}{3},x=\frac{5\pi}{3}[/tex]
Step-by-step explanation:
This is a trigonometric equation where we need to use the cosine of the double-angle formula
[tex]cos4x=2cos^22x-1[/tex]
Replacing in the equation
[tex]cos4x - cos2x = 0[/tex]
We have
[tex]2cos^22x-1 - cos 2x = 0[/tex]
Rearranging
[tex]2cos^22x - cos 2x-1 = 0[/tex]
A second-degree equation in cos2x. The solutions are:
[tex]cos2x=1,cos2x=-\frac{1}{2}[/tex]
For the first solution
cos2x=1 we find two solutions (so x belongs to [0,2\pi))
[tex]2x=0, 2x=2\pi[/tex]
Which give us
[tex]x=0,x=\pi[/tex]
For the second solution
[tex]cos2x=-\frac{1}{2}[/tex]
We find four more solutions
[tex]2x=\frac{2\pi}{3},2x=\frac{4\pi}{3},2x=\frac{8\pi}{3},2x=\frac{10\pi}{3}[/tex]
Which give us
[tex]x=\frac{\pi}{3},x=\frac{2\pi}{3},x=\frac{4\pi}{3},x=\frac{5\pi}{3}[/tex]
All the solutions lie in the interval [tex][0,2\pi)[/tex]
Summarizing. The six solutions are
[tex]x=0,x=\pi,x=\frac{\pi}{3},x=\frac{2\pi}{3},x=\frac{4\pi}{3},x=\frac{5\pi}{3}[/tex]
Thomas buys 6 souvenirs for his friends and family. Each gift takes up 1/15 of his suitcase. If he has two suitcases, how much room is left for his own belongings in his suitcases?
Answer:
Thomas still has 1 3/5 suitcases available for his own belongings.
Step-by-step explanation:
1. Let's review the data given to us for solving the question:
Number of souvenirs bought by Thomas = 6
Space that each souvenir takes of Thomas suitcase = 1/15
Number of Thomas suitcases = 2
2. How much room is left for his own belongings in his suitcases?
Let's find out how much space the souvenirs take:
Number of souvenirs * Space that each souvenir takes
6 * 1/15 = 6/15 = 2/5 (Dividing by 3 the numerator and the denominator)
The souvenirs take 2/5 of one suitcase.
Now, we can calculate the room that is left for Thomas' belongings.
2 Suitcases - 2/5 for the souvenirs
2 - 2/5 = 10/5 - 2/5 = 8/5 = 1 3/5
Thomas still has 1 3/5 suitcases available for his own belongings.
Answer:
1 9/15
Step-by-step explanation:
which of the following is possible function for y? please help me 22 points
Answer:
f(x) = (8/3)^x
Step-by-step explanation:
Since f increasing, the base value must be greater than 1.
8/3 is the only base value greater than 1.
The base (3/8) would be a decreasing graph because it is less than 1.
The base (-3/8) would result in a wavering graphing passing the x-axis many times. (Because whether the result is negative depends on if x is odd or even.)
in (8/3)^(-x), it is the same as (3/8)^x by applying the negative exponent rule a^(-x) = 1/(a^x).
What is the following product? ^3 square root 5 * square root 2
Answer:
The answer is B
A chemist puts 0.2 liters of liquid in each of 3 beakers. How much liquid is there in total?
The total amount of liquid in the three beakers is 0.6 liters.
Calculating Total Volume of Liquid
To determine the total amount of liquid in 3 beakers, we need to multiply the volume of liquid in each beaker by the number of beakers.
Volume of liquid in each beaker: 0.2 litersNumber of beakers: 3Total volume: 0.2 liters/beaker x 3 beakers = 0.6 litersSo, the total amount of liquid in the three beakers is 0.6 liters.
The two-way table shows the number of houses on the market in the Castillos’ price range. A 6-column table has 4 rows. The first column has entries 1 bathroom, 2 bathrooms, 3 bathrooms, total. The second column is labeled 1 bedroom with entries 67, 0, 0, 67. The third column is labeled 2 bedrooms with entries 21, 6, 18, 45. The fourth column is labeled 3 bedrooms with entries 0, 24, 16, 40. The fifth column is labeled 4 bedrooms with entries 0, 0, 56, 56. The sixth column is labeled Total with entries 88, 30, 90, 208. What is the probability that a randomly selected house with 2 bathrooms has 3 bedrooms
Answer:
.8
Step-by-step explanation:
because 24/30
The probability that a randomly selected house with 2 bathrooms
has 3.
We have given that,
The two-way table shows the number of houses on the market in the Castillos’ price range.
A 6-column table has 4 rows.
The first column has entries 1 bathroom, 2 bathrooms and 3 bathrooms, in total.
The second column is labeled 1 bedroom with entries 67, 0, 0, 67.
The third column is labeled 2 bedrooms with entries 21, 6, 18, 45.
We are only considering the houses that have 2 bathrooms.
There are a total of 30 of these houses.
Out of these 30, 24 have 3 bedrooms.
What is the formula for probability?
The probability of an event can only be between 0 and 1 and can also be written as a percentage.
This makes the probability 24/30, which is 0.8.
Therefore, the probability that a randomly selected house with 2 bathrooms has 3.
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Which is the best first step and explanation for solving this system of equations?
Answer:
Subtract the second equation from the first one.
The solution is (1.71, 0.93).
Step-by-step explanation:
2x + 3y = 7
2x = 4y - 5
2x + 3y - 2x = 7 - (4y - 5) So we eliminate the x term:
3y = -4y + 12
7y = 12
y = 12/7 = 1.714
Plug this into the first equation:
2x + 3(1.714) = 7
2x = 1.858
x = 0.929.
Answer:
Step-by-step explanation:
I'll mark brainlest
find the distance between point A, (2,3) and point B, (-4,6) show your work by using the distance formula
Answer:
The distance is 7 (approximately).
Step-by-step explanation:
Given:
Point A, (2,3) and point B, (-4,6).
Now, to find the distance between the points using the formula:
Let A = (2,3) be [tex](x_{1}, y_{1})[/tex] and B = (-4,6) be [tex](x_{2}, y_{2})[/tex] and d = distance.
Putting the distance formula to find:
[tex]d=\sqrt{(x_{2}-x_{1})^{2} +(y_{2}-y_{1})^{2}}[/tex]
[tex]d=\sqrt{(-4-2)^{2} +(6-3)^{2}}[/tex]
[tex]d=\sqrt{(-6)^{2} +(3)^{2}}[/tex]
[tex]d=\sqrt{36 +9}[/tex]
[tex]d=\sqrt{45}[/tex]
[tex]d=6.71[/tex]
Distance = 6.71
Therefore, the distance is 7 (approximately).
Add. 1/2+(−3/5) Enter your answer as a fraction, in simplified form, in the box.
Answer:
-1/10
Step-by-step explanation:
1/2 - 3/5
Find common denominator. in this case, it'll be 10
1/2 * 5/5 = 5/10
3/5 * 2/2 = 6/10
5/10 - 6/10 = -1/10
A certain car model has a mean gas mileage of 29 miles per gallon (mpg) with standard deviation of 3mpg . A delivery company buys 49 of these cars. What is the probability that the average mileage of the fleet is greater than 28.8 mpg?
Answer:
0.6808
Step-by-step explanation:
First, find the standard deviation of the sample.
s = σ / √n
s = 3 / √49
s = 0.429
Next, find the z-score.
z = (x − μ) / s
z = (28.8 − 29) / 0.429
z = -0.467
Use a calculator or z-score table to find the probability.
Using a table:
P(x > -0.47) = 1 − 0.3192 = 0.6808
Using a calculator:
P(x > -0.467) = 0.6796
The probability that the average mileage of the fleet is greater than 28.8 mpg is approximately 0.680.
Step 1
In order to determine the likelihood that a fleet of 49 automobiles will get more than 28.8 mpg on average, we must apply the Central Limit Theorem, which states that the sample mean's sampling distribution will be roughly normally distributed.
Given:
- Mean [tex](\(\mu\))[/tex]= 29 mpg
- Standard deviation [tex](\(\sigma\))[/tex] = 3 mpg
- Sample size [tex](\(n\))[/tex] = 49 cars
- Sample mean [tex](\(\bar{x}\))[/tex]= 28.8 mpg
Step 2
First, we find the standard error of the mean (SEM):
[tex]\[\text{SEM} = \frac{\sigma}{\sqrt{n}} = \frac{3}{\sqrt{49}} = \frac{3}{7} \approx 0.4286\][/tex]
Next, we convert the sample mean to a z-score to find the probability:
[tex]\[z = \frac{\bar{x} - \mu}{\text{SEM}} = \frac{28.8 - 29}{0.4286} \approx \frac{-0.2}{0.4286} \approx -0.466\][/tex]
We can use a calculator or the conventional normal distribution table to find the probability using the z-score.
With a z-score of -0.466, one may calculate the cumulative probability to be roughly 0.3204. This is the likelihood that the mileage will be on average less than 28.8 mpg.
We deduct this figure from 1 to get the likelihood that the average mileage is higher than 28.8 mpg:
Step 3
[tex]\[P(\bar{x} > 28.8) = 1 - P(\bar{x} < 28.8) = 1 - 0.3204 = 0.6796\][/tex]
Therefore, the probability that the average mileage of the fleet is greater than 28.8 mpg is approximately 0.680 (rounded to three decimal places).
Haley invests $16,820 in a nine-year CD bearing 5.8% interest, and $21,950 in an online savings account giving 3.0% interest. When the CD reaches maturity, how much more interest will it have generated than the savings account?
Answer:
$2853.5
Step-by-step explanation:
Let us assume that the interest rate of both the investments of Haley is simple interest.
So, $16820 amounts of investment in nine-year CD bearing 5.8% interest will get interest of [tex]16820 \times \frac{5.8}{100} \times 9 = 8780[/tex] dollars.
Again, $21950 amounts of investment in an online savings account giving 3% interest will give interest of [tex]21950 \times \frac{3}{100} \times 9 = 5926.5[/tex] dollars.
Therefore, the nine-year CD will give more interest by $(8780 - 5926.5) = $2853.5. (Answer)
Answer:
C. $2,853.54
Step-by-step explanation:
I just answered it correct
10. The length of a side of a square is represented by (24 – 3x) feet. What is the
length of the side of the square when r = 6?
Answer:
The length of the side of the square is 6 feet.
Step-by-step explanation:
Given,
Length of side of square = [tex](24 - 3x)\ feet[/tex]
According to question, x = 6
So we have to substitute x with 6 in the given expression.
Length of side of square = [tex](24-3x)= 24-3\times6=24-18=6\ feet[/tex].
Thus the length of the side of the square is 6 feet.
Final answer:
To find the length of the side of the square when x is 6, substitute 6 for x into the given expression (24 - 3x). Thus, the length of the side is calculated as 6 feet.
Explanation:
The student asked for the length of the side of the square when x = 6. To find this, we substitute x with 6 into the expression representing the side length of the square, which is (24 - 3x) feet.
Replacing x with 6, we get:
(24 - 3The length of the side of the square when x is equal to 6 is therefore 6 feet.
There are 12 girls and 14 boys in math class. The teacher puts all the students names in a hat and picks randomly. What is the probability the teacher picks 2 boys in a row?
Answer:
The probability of picking the first boyis 14/26 and the probability of picking another boy is 13/25. The combined probability is thus 14/26 x 13/25 = 7/25
Step-by-step explanation:
The probability the teacher picks 2 boys in a row is 7/13.
What is the probability?Probability can be defined as the ratio of the number of favourable outcomes to the total number of outcomes of an event.
We know that, probability of an event = Number of favorable outcomes/Total number of outcomes.
Given that, there are 12 girls and 14 boys in math class.
Here, total number of outcomes = 12+14
= 26
Number of favorable outcomes = 14
Now, probability = 14/26
= 7/13
Therefore, the probability the teacher picks 2 boys in a row is 7/13.
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The health club is raising money through a babysitting fundraiser. On Thursday, they charged $3 per hour plus an initial fee $40. On Friday, they charged $4 per hour plus an initial fee of $30. How many hours do they need to babysit to have the same money each day?
They need to babysit for 10 hours to have same money each day.
Step-by-step explanation:
On Thursday;
Charges = $3 per hour
Initial fee = $40
let x be the number of hours.
T(x) = 3x+40
On Friday;
Charges = $4 per hour
Initial fee = $30
F(x)= 4x+30
The cost will be same when;
T(x) = F(x)
[tex]3x+40=4x+30\\40-30=4x-3x\\10=x\\x=10[/tex]
They need to babysit for 10 hours to have same money each day.
Keywords: functions, addition
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ASAP HELP FOR QUESTION 4 ASAP
Answer:
convert 17 meters into feet and then write it down to teh nearest 10thof a foot
Step-by-step explanation:
At 3:00 a.m., the temperature outside is -10°F. Between 3:00 a.m. and 6:00 a.m., the temperature drops by 12°F. Between 6:00 a.m. and 9:00 a.m., the temperature rises by 8 degrees. Between 9:00 a.m. and noon, the temperature rises by 20°F.
What is the temperature at noon?
Answer:
The temperature at noon is 6ºF.
Step-by-step explanation:
3:00am: -10ºF
-12ºF
6:00am: -22ºF
+8ºF
9:00am: -14ºF
+20ºF
Noon: 6ºF
So at 6:00 a.m. the temperature is 33 F
12:00 p.m. the temperature increased by 10 F so it is 43 F
3:00 p.m. the temperature increased by another 12 F making it 55 F
At 10:00 p.m. it would decrease by 15 F making it 40 F.
The temperature would need to fall/decrease 7 F to reach the original temperature of 33 F so it would be A.
Hope this helps!
Can u plz mark me as brainliest? I really need it!
It’s question number 6, please help!
Answer:
a. s = 0.9r
not very sure about b
Step-by-step explanation:
you want to buy desserts for your sisters birthday party. At the grocery store it costs $6 for a package of cupcakes and 4$ for a package of cookies. write a linear equation to represent the number of items you can buy if she spends $48
Answer:
Part a) [tex]6x+4y=48[/tex]
Part b) The graph in the attached figure
Part c) (6,3) and (4,6)
Step-by-step explanation:
Part a) Write a linear equation to represent the number of items you can buy if she spends $48
Let
x ----> number of package of cupcakes you can buy
y ---> number of package of cookies you can buy
we know that
The number of package of cupcakes you can buy multiplied by it cost ($6 for a package) plus the number of package of cookies you can buy multiplied by it cost ($4 for a package) must be equal to $48
so
The linear equation that represent this problem is
[tex]6x+4y=48[/tex]
Part b) Graph the equation
To graph the line we need two points
Find the intercepts
Find the x-intercept (value of x when the value of y is equal to zero)
For y=0
[tex]6x+4(0)=48[/tex] ----> [tex]x=8[/tex]
the x-intercept is the point (8,0)
Find the y-intercept (value of y when the value of x is equal to zero)
For x=0
[tex]6(0)+4y=48[/tex] ----> [tex]y=12[/tex]
the y-intercept is the point (0,12)
Plot the intercepts and join the points to graph the line
see the attached figure
Part c) State two possible solutions in the context of the problem
1) First possible solution
the ordered pair (6,3)
That means
You can buy 6 package of cupcakes and 3 package of cookies
Verify in the linear equation
[tex]6(6)+4(3)=48[/tex]
[tex]48=48[/tex] ---> is true
therefore
The ordered pair is a solution of the linear equation
2) Second possible solution
the ordered pair (4,6)
That means
You can buy 4 package of cupcakes and 6 package of cookies
Verify in the linear equation
[tex]6(4)+4(6)=48[/tex]
[tex]48=48[/tex] ---> is true
therefore
The ordered pair is a solution of the linear equation
Select proportional or not proportional to correctly classify each pair of ratios.
16/36 and 4/9
16/36=4/9
(16)(9)=(36)(4) cross multiply
144=144 proportional
After cross-multiplying the ratios 16/36 and 4/9 and finding that both products are equal (144), it is determined that these ratios are proportional.
Explanation:The question asks to classify the pair of ratios 16/36 and 4/9 as either proportional or not proportional. We can determine if two ratios are proportional by cross-multiplying and checking if the products are equal. In this case, for the ratios 16/36 and 4/9, we cross-multiply:
(16 × 9) = 144(36 × 4) = 144Since the products are equal (144 = 144), this confirms that the ratios 16/36 and 4/9 are indeed proportional.
Can someone please answer this! (1/4 + 5/4)^2 +3/4
Answer:
3
Step-by-step explanation:
Given: [tex]$ (\frac{1}{4} + \frac{5}{4} )^{2} + \frac{3}{4} $[/tex]
This is equivalent to: [tex]$ ( \frac{6}{4}) ^2 + \frac{3}{4} $[/tex]
⇒ [tex]$ (\frac{3}{2})^2 + \frac{3}{4} $[/tex]
⇒ [tex]$ \frac{9}{4} + \frac{3}{4} $[/tex]
⇒ [tex]$\frac{12}{4} = 3$[/tex]
Therefore, [tex]$(\frac{1}{4} + \frac{5}{4} )^{2} + \frac{3}{4} = 3 $[/tex]
Answer:
(1/4 + 5/4)^2 +3/4 = 12
Step-by-step explanation:
To solve the problem given, we will follow the steps below;
(1/4 + 5/4)^2 +3/4
First, we will find the value of (1/4 + 5/4)^2
1/4 + 5/4 = 6/4
(1/4 + 5/4)^2 = (6/4)^2 = [tex]\frac{36}{16}[/tex]
[tex]\frac{36}{16}[/tex] can be reduced to [tex]\frac{9}{4}[/tex]
This implies that ; (1/4 + 5/4)^2 = [tex]\frac{9}{4}[/tex]
Then, we can now add [tex]\frac{9}{4}[/tex] and [tex]\frac{3}{4}[/tex] together
(1/4 + 5/4)^2 +3/4 = [tex]\frac{9}{4}[/tex] + [tex]\frac{3}{4}[/tex] = [tex]\frac{12}{3}[/tex] = 4
Therefore (1/4 + 5/4)^2 +3/4 = 12
Women's swinsuit are 75% off at the end of the summer seson how much will a customer save by buying an $80 swimsuit while it is on sale.
Explain why...
Answer:
$60
Step-by-step explanation:
75% divided by 100 x 80 = 60
OR
$80 divided by 100 x 75 = 60
24/2=_/3=_/5.5=108/_=_/15
Answer:
The answer is 24/2=36/3=66/5.5=108/9=180/15.
Step-by-step explanation:
Given:
24/2=_/3=_/5.5=108/_=_/15.
Now, we need to solve this by putting [tex]x[/tex] in the place of _ and then continue:
[tex]\frac{24}{2} =\frac{x}{3}[/tex]
By cross multiplication we get:
[tex]72=2x[/tex]
By dividing with 2 we get:
[tex]36=x[/tex]
Now, we will continue like this process:
[tex]\frac{36}{3}=\frac{x}{5.5}[/tex]
[tex]198=3x[/tex]
[tex]x=66[/tex]
And, then again:
[tex]\frac{66}{5.5}=\frac{108}{x}[/tex]
[tex]66x=594[/tex]
[tex]x=9[/tex]
And, last:
[tex]\frac{108}{9}=\frac{x}{15}[/tex]
[tex]9x=1620[/tex]
[tex]x=180[/tex]
Therefore, the answer is 24/2=36/3=66/5.5=108/9=180/15.
what is x^2+4=0 over the set of complex numbers?
[tex]\bf x^2+4=0\implies x^2=-4\implies x = \pm\sqrt{-4}\implies x = \pm\sqrt{-1\cdot 2^2} \\\\\\ x = \pm\sqrt{-1}\cdot \sqrt{2^2}\implies x = \pm 2i[/tex]
Sarah wrote two decimals on the chalkboard. The decimals she wrote were were 5.73 and -6.1. What is the sum of the two decimals Sarah wrote?
Answer:
-0.37
Step-by-step explanation:
Please help I need this paper finished by tonight please help
Step-by-step explanation:
Multiply the Fraquetions 277/160 3 right so Multiply the numerator and[tex] \frac{277}{160 \sqrt{3 } } [/tex]denominator separately
[tex]277 \sqrt{3} [/tex]
the below 160 Number 2) Same thing with the first one Multiply the Fraquetions, then multiply the numerator and denominator separately so
[tex] \frac{590}{160} \sqrt{17} [/tex]
then change to
[tex]590 \sqrt{17} [/tex]
the below that is a 5 and above it on the top right corner out 160
Three-fourths of the students in the class did their homework last night. If 18 students in the class did their homework,
how many students are there in the class? Write an equation for this situation. Solve your equation algebraically two different ways.
Answer: 24 people are in the class
I am sorry I don’t know the equation but I hope this helps.
Step-by-step explanation:
3. 18. 18
- =. —. =. —-
4. ? 24
Y = -22x +9
y = 40x - 3
Answer:
x=6/31, y=147/31. (6/31, 147/31).
Step-by-step explanation:
y=-22x+9
y=40x-3
-----------------
-22x+9=40x-3
9=40x-(-22x)-3
9=40x+22x-3
9=62x-3
62x=9+3
62x=12
x=12/62
simplify,
x=6/31
-----------------
y=40(6/31)-3=240/31-3=240/31-93/31=147/31
x=6/31, y=147/31.