3x+10y=13
4(-2y+x)-9x=13

Answers

Answer 1

Answer:

[tex]x=-9[/tex]

[tex]y=4[/tex]

Step-by-step explanation:

[tex]3x+10y=13[/tex] ← Equation 1

[tex]4(-2y+x)-9x=13\\[/tex]

By simplifying the above equation we get,

[tex]-8y+=4x-9x=13[/tex] (Simplifying the brackets)

[tex]-8y-5x=13[/tex] (By subtracting [tex]-9x[/tex] from [tex]+4x[/tex]) ← Equation 2

Multiply Equation 1 by 5 and Equation 2 by 3 and add them together.

Equation 1 multiplied by 5 will give,

[tex]15x+50y=65[/tex]

Equation 2 multiplied by 3 will give,

[tex]-24y-15x=39[/tex]

Add those together,

[tex]15x+50y-24y-15x=65+39[/tex]

[tex]26y=104[/tex] (After simplifying [tex]x[/tex] values)

Therefor [tex]y=4[/tex]

By substituting [tex]y=4[/tex] to Equation 1 we get,

[tex]3x+10*4=13[/tex][tex]3x+40=13\\3x=-27\\x=-9[/tex]

Therefor we can say,

[tex]x=-9[/tex]

[tex]y=4[/tex]


Related Questions

Is -27 meters deeper than -31 meters

Answers

No -31 would be deeper.

yes that is because they are both negative but when both are absolute valued, 31 is larger than 27

What number + (-7) = 3

Answers

A number can be 10.

You can add 7 + 3 to get 10.

Answer:

10 is the correct answer

Step-by-step explanation:


write and solve an equation to find the missing value:

Answers

b + 48 = 180
subtract 48 from both sides to get:
b = 132

which is a disadvantage of purchasing and owning a home?

Answers

The answer to your question is,

B. Homeowners pay additional property taxes

-Mabel <3

Final answer:

Owning a home can lead to a lack of flexibility, high maintenance costs, and financial risks associated with changes in the housing market.

Explanation:

A significant disadvantage of buying and owning a home is the commitment and reduced flexibility compared to renting. When you purchase a home, it becomes a major part of your portfolio, any change in the housing market can directly affect your financial status. Not to mention, if you need to move for a career opportunity or a change in life circumstances, it can be challenging to sell the house, especially if the market conditions are unfavorable.

Furthermore, home ownership often comes with substantial maintenance costs and responsibilities. Unlike renting, where the landlord typically handles maintenance tasks, as a homeowner, these responsibilities and costs are up to you. This can include routine tasks such as gardening and cleaning, to significant unexpected costs like roof replacement or plumbing issues.

Additionally, despite the potential financial return of selling the house in the future for more than you paid for it, this is not guaranteed. The housing market can fluctuate and you may not always make a profit on the resale of your home.

Learn more about Home Ownership here:

https://brainly.com/question/32148612

#SPJ2

Mrs.gauthier plans to take her class on 2 field trips this year there are 23 students in her class and each field trip will cost $5 per student use mental math to find the total cost for both field trips

Answers

If there is 2 field trips with 23 students and each student costs $5 dollars. So for the 1st trip it will be 23x$5

1st trip- $115

And on the second trip its the same because there is 23 students that cost 5 dollars so it will be 23x5

2nd trip- $115

To find out the total of both trips youd add 115+115/

In total, for both trips it will cost $230 dollars.

The system of equations shown below is graphed on a coordinate grid:

3y + x = 4
2y − x = 6

Which statement is true about the coordinates of the point that is the solution to the system of equations?

a. It is (−2, 2) and lies on both lines.
b. It is (−5, 3) and lies on both lines.
c. It is (−5, 3) and does not lie on either line.
d. It is (−2, 2) and does not lie on either line.

Answers

(−2, 2)

3(2) + (-2) = 4

6 - 2 =4

4 = 4 .............TRUE

2(2) − (-2) = 6

4 + 2 = 6

6 = 6 ..............TRUE

Answer:

a. It is (−2, 2) and lies on both lines.

Answer:

The answer is A. It is (−2, 2) and lies on both lines.

Hope This Helps!

Is the simplified form of 2 square root of 3 + 3 square root of 3 rational?

Answers

[tex]2\sqrt3+3\sqrt3=(2+3)\sqrt3=5\sqrt3-\text{It's an irrational number}[/tex]

No it is not rational

Is this all right because my homework is tomorrow

Answers

Yeah, its all correct

It's all correct, but I'm not really sure about the drawing part because I can't see it all, although I think you did a great job :)

theoretical probability and experimental probability are the same true or false?

Answers

Answer:

FALSE

Step-by-step explanation:

Final answer:

The statement 'theoretical probability and experimental probability are the same' is generally false. Theoretical probability is what we expect to happen, while experimental probability is based on actual results from experiments. With more trials, these two probabilities tend to get closer, thanks to the Law of Large Numbers.

Explanation:The statement 'theoretical probability and experimental probability are the same' is generally false. Theoretical probability is defined as the number of desired outcomes divided by the number of possible outcomes, assuming that all outcomes are equally likely. It is what we expect to happen in an experiment.On the other hand, experimental probability is the proportion of times an outcome occurs based on actual experimental results. In other words, it is the data observed from repeated trials of an experiment. It's worth noting that with an increasing number of trials, experimental probability tends to get closer to theoretical probability, in accordance with the Law of Large Numbers.

Learn more about Probability here:

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Two less than twice a number equals the opposite of the same number. Write an equation to represent this statement, then solve.

Answers

2X (twice a number) - 2 (two less) = -X (opposite of same number).
First, isolate the variable, to do this, add X to both sides. This creates 3X - 2 = 0, then add 2 to both sides. This makes 3X = 2, divide this by 3 and you get the answer: X = 2/3.

To check it, 2*2/3 - 2 is -2/3, which means our answer is correct.

Perform the indicated operation . Round the result to the nearest tenth and then to the nearest hundredth . Separate your answers by a comma . -49.256 + 17.197

Answers

Final answer:

By adding the two numbers and rounding, we first get -32.1 for the rounding to the nearest tenth and then the same result, -32.1, when rounding to the nearest hundredth.

Explanation:

To perform the indicated operation and round the result first to the nearest tenth and then to the nearest hundredth, we begin by adding the two numbers: -49.256 + 17.197. The sum of these numbers is -32.059. To round to the nearest tenth, we look at the hundredths place, which is 5, so we round up, resulting in -32.1. Next, to round to the nearest hundredth, we consider the thousandths place, which is 9, so we again round up, but since we're already at 9 in the hundredths place, the result remains -32.1.

the width of a rectangle is 12 cm less than the length the perimeter is 156 cm. Find the length and width

Answers

We can write this question as an equation to solve it. Using L for length and W for width we know that

L+L+W+W=perimeter
2L+2W=perimeter

We can put the value of the perimeter into this

2L+2W=156cm

Next, we have to make sure all the terms (letters) are the same so we can solve it. This means we have to rewrite either the length or width in terms of the other.

We know the width is 12cm less than the length, which is the same as saying L-12
Then we substitute this into the equation and solve L

2L+2(L-12)=156
2L+2L-24=156
4L-24=156
4L=180
L=45cm

Next we use this value to find W.
45-12=33
W=33cm

X+90 = 4x
What does x equal?

Answers

From what I remember it should be 30

Standard form:  −3X + 90 = 0


you do 90/4 I think I'm not the best at math but I'm trying to help

(8,15) (-14,-3)
find the slope

Answers

The slope is 9/11 because if you use the formula (change in y)/(change in x), you would get -18/-22 and then if it were to be simplified, it would be 9/11

5 1/5 in simplest form

Answers

That is the simplest for the number can be in

If you mean 5 and 1/5 then that is the simplest form.

maria ran 12 miles las week phoebe ran 60 miles last week how many times as far did phoebe run compared to the

Answers

5 times as far take 60 and divide by 12 and you get 5

( 30 POINTS!!! WILL MARK AS BRAINLIEST IF GIVEN AN EXPLANATION )

What is the number in scientific notation?

​0.0765

Answers

I think it is

7.65 x 10^-2



7.65 x 10^-2  i think i'm not sure

Ms. Lynch has 21 coins in nickels and dimes. Their total value is $1. 65. How many of each coin does she have? Please answer!!

Answers

Hi, there

Question:Ms. Lynch has 21 coins in nickels and dimes. Their total value is $1. 65. How many of each coin does she have?

Explanation:

1.65 x 21

Answer 34.65

Hi!

Ms. Lynch has 21 coins in nickels and dimes. Their total value is $1. 65. How many of each coin does she have?

12 x 0.1 = 1.2

9 x 0.05 = 0.45

1.2 + 0.45 = $1.65

Answer:

She has 12 Dimes and 9 Nickels!

Fractions. Help. Please?

Answers

[tex]x=0.\overline{8}\\\\10x=8.\overline{8}\\\\10x-x=8.\overline{8}-0.\overline{8}\\\\9x=8\\\\x=\dfrac{8}{9}[/tex]

Algebraic expressions for five less three times the length L

Answers

3L-5 would be your answer

Tom receive an allowance of 20 Dollars per week if he bought 3 comic books for 2.75 Dollars each and an action figure for 10.99Dollors how much of his allowance did he have left

Answers

20 - (3 * 2.75) - 10.99

20 - 8.25 -  10.99

12.75 - 10.99

1.76

z+5-4z=8 plz hurry plz

Answers

-1 Negative 1 I did math for u

first, rearrange the equation like this  

5 + z -4z = 8  

Then, simplify the "z"s Then, subtract 5 from both sides  

-3z = 3  

Then, divide both sides by -3  

z = -1  

To check  

-1 + 5 - 4(-1) = 8  

-1 + 5 + 4 = 8  -1 + 9 = 8  

8 = 8  


The boat travels x miles per hour from one island to another island in 2.5 hours. The boat travels 5 miles per hour faster on the return trip of 2 hours. What is the distance between the island?

Answers

The speed to the island is x. The speed to return is x+5.

The distance is the same so, 2.5 multiplied by x = 2×(x+5).

It took 2.5 hrs to get there and 2 hrs to return. Now all we have to do is solve.

 2.5*x = 2x + 10

 .5x = 10
x=20

 Therefore, the distance between islands is 2.5 × 20 = 50 miles.

hope this helps!

How do I factor trig functions?
I am stuck on how to factor out equations like 1+sinX-cos2x=0
I am confused on where to go from here to solve the equation. Pls help.

Answers

Use cos2x =1-2sin^2x

1+sinx- (1-2sin^2x) = 1+ sinx -1+2sin^2x

=sinx+2sin^2x=sinx(1+2sinx)

Therefore

Either sinx=0 or 1+ sin2x =0

X=npi or sin2x=-1

Sin2x=sin 3pi/2

2x= npi +(-1)^n3pi/2

x=npi/2 + (-1)^n 3pi/4

the length of a rectangle is 4 in. greater than the width. the perimeter of the rectangle is 24 in. find the dimensions of the rectangle

Answers

The width is 8 in.The lenth is 4 in.

ineed help with this qusetion plox

Answers

Assist

The answer should be Assist  

Let me know if the answer is wrong and i'll correct it


Answer:

Step-by-step explanation:

assist

|x|=13 Can someone please help me fin the solution? Pleaseeeeeeeee ASAP, and can you explain it to?

Answers

The absolute value of 13 is 13. The absolute value of a number is always positive.

Six people can sit at each table.

How many tables are needed for 175 people?

Answers

175/ 6 = 29.1

So you would need at least 30 tables.

Hope this Helps!!

So to figure this out first setup the equation to do so take note of the amount of people and how many can sit at a table.

6 and 175

so now make the equation which will be

175/6=29.1

Round to the most is 30. So 30 tables are needed to seat 175 people.

Jodi is cutting out pieces of paper that measures 8 1/2 inches by 11 inches from a larger sheet of paper that has an area of 1,000 square inches. What is the area of each piece of paper that Jodi is cutting out

Answers

Answer:

the area of each piece of paper that Jodi is cutting it is 93.5.

blake thinks the solution to the equation 4=6-2x is -5 is he corect? explain

Answers

He isn't correct. Blake added 6 to both sides instead of subtracting 6 from both sides which gave him 10=-2x ---> x=-5 isn't correct. Instead, he should have subtracted 6 from both sides and then divide. the answer would turn out to be x= -2


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