3x-4y=1 and x=2y+1 using substitution

Answers

Answer 1

Answer:

x =-1

y =-1

Step-by-step explanation:

to solve this system of equation, using substiution method

3x-4y=1 ........................ equation 1

x=2y+1 ............................  equation 2

subbstitute for x into equation 1

3x-4y=1 ........................ equation 1

3(2y + 1) - 4y = 1

6y + 3 -4y = 1

2y + 3 = 1

collect the like terms

2y = 1- 3

2y= -2

divide both sides by  the coefficient of y which is y

2y/2 = -2/2

y = -1

put the value of y =-1 into equation 2

x=2y+1 ............................  equation 2

x = 2(-1) + 1

x = -2 + 1

x = -1

therefore x =-1 y = -1


Related Questions

Can someone answer this question please answer it correctly if it’s corect I will mark you brainliest

Answers

They used more cleaner in 2012 because the green line is higher in the year 2012 than it is in 2015.

Answer:

2012

Step-by-step explanation:

Based on the graph, you can tell that private residence needed 6000 liters of cleaner in 2012 and only 2000 in 2016

The steps Quentin took to evaluate the expression 3m - 3+3 when m = 8
are shown below.
3m - 3 + 3 when m=8
3 x 8 = 24
24 - 3 =21
21 + 3 = 7
What should Quentin have done differently in order to evaluate the
expression?
divided (24-3) by (24x3)
divided (24-3) by (24-3)
subtracted (3 + 3) from 24
subtracted 3 from (24 +3)

Answers

Final answer:

Quentin had properly substituted m with 8, but he mistakenly added 3 to 21 rather than subtracting. The right final calculation should provide 24, not 7.

Explanation:

In order to correctly evaluate the expression 3m - 3 + 3 when m = 8, Quentin starts off correctly by replacing m with 8, resulting in 24. The mistake happens when Quentin incorrectly adds 3 to 21 instead of subtracting 3 from 21. The correct sequence of steps should be:

3m - 3 + 3 when m=8Replace m with 8. Therefore, 3 * 8 = 24Subtract 3 from 24. Therefore, 24 - 3 = 21Add 3 back to the result of 21 - 3. Therefore, 21 + 3 = 24

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Can anyone answer this like really quickly I’m being timed

Answers

Answer:

48%

Step-by-step explanation:

12     =      48

25           100

Answer:

Step-by-step explanation:

i dont know the answer but how to solve is by adding up all the numbers and dividing by 12

Can somebody help me

Answers

Answer:

B

Step-by-step explanation:

Which dimensions will create an unlimited number of triangles?
angle 55°
angle 50°
angle 60°
angle 45°
angle 45°
angle 90°
side length of 6
side length of 8
side length of 10
side length of 5 in.
side length of 10 in.
side length of 12 in.

Answers

Answer:

B

Step-by-step explanation:

the answer to this question is

angle 45

angle 45

angle 90

Recess began at 11:12am. It ended at 11:44am. How long was recess?

Answers

Answer:

32 minutes

Step-by-step explanation:

44-12=32

Answer:

32 minutes

Step-by-step explanation:

Both times were at 11 am and some minutes. The difference is only in the minutes.

44 - 12 = 32

Answer: Recess was 32 minutes long.

How many solutions does the equation 5x=2 have

Answers

Answer:

one solution

Step-by-step explanation:

5x=2

Divide each side by 5

5x/5 = 2/5

x = 2/5

There is one solution

A windshield wiper blade turns through an angle of 135°. The bottom of the blade traces an arc with a 5-inch radius. The top of the blade traces an arc with a 22-inch radius. To the nearest inch, how much longer is the top arc than the bottom arc? Round to the nearest whole number.

Answers

The upper arc is longer than the lower arc by inches.

Step-by-step explanation:

Since both the arcs are made by the same wiper blade, hence the angle of the arc would be the same.

The radius of upper arc= 22 inch

The radius of the lower arc= 5 inch

Angle made by the arc= 135°

We know that length of the arc= (angle made/360)*2πr

Where r is the radius of the arc

The difference in the arc length has been due to the difference in radius of the arcs.

Hence, the difference in the radius would be equal to the difference in arc length.

Difference in wiper radius= 22-5= 17 inch

Putting the values together

arc length= (135/360)*2*3.14*17

arc length= 40.035

The difference in arc length=40 inches (rounded off to the nearest whole number)

What is the mean?
1 4 0 0 1 5 3 2 2

Answers

Answer:

Mean is 2

Step-by-step explanation:

How many inches if wooden sticks will be required?

Answers

show a picture so we can give u the best estimate
Final answer:

The required amount of wooden sticks would depend on specific measurements for different projects, such as making a Biltmore stick for tree height measurement or spacing vertical studs 16 inches apart, which is equal to 40.64 centimeters. Measurements and conversions would be necessary to determine the exact amount of material needed.

Explanation:

The amount of wooden sticks required would depend on the specific project being undertaken. The details provided mention various projects, including constructing a Biltmore stick for measuring tree heights, vertical studs spaced 16 inches apart for lumber usage, and spacing between scaffolds that could be anywhere from 3 to 12 inches. For the Biltmore stick, you would need a stick long enough to reach from your eye level to the ground, as well as additional sticks or markers for the grading. For constructing vertical studs spaced 16 inches apart, you would convert that distance into centimeters, where 16 inches is equal to about 40.64 centimeters. Other examples require sticks of varying sizes, from the barrel of a plastic stick pen cut in half, which would be a few inches, to a list of materials needed for a pyramid structure that changes by 12 inches per level.

Help me ASAP please

Answers

Answer: 120

Step-by-step explanation:

Answer:

The one on the left is 120.

The one on the right is 185

Step-by-step explanation:

It izz wat it izzzz!!!

A pyramid-shaped roof has a slant height of 16 ft and its square base is 40 ft wide. How much roofing material is needed to
cover the roof?

Answers

Answer:

1280ft²

Step-by-step explanation:

To find the total surface area of a square pyramid, we find the area of the square base and add it to the area of the four triangular faces.

The area of the square base is

[tex] {40}^{2} = 1600 {ft}^{2} [/tex]

The area of the four triangular faces is

[tex] = 4 \times \frac{1}{2} \times 40 \times 16 = 1280 {ft}^{2} [/tex]

In the context of this problem , the base will not be roofed, therefore the 1280 ft² of material is needed to cover the roof

Solve 5x=125.
X=25
x=3

Answers

Answer: X = 25

Step-by-step explanation: 5 * 25 = 125

Barry answered 32 out of 40 questions correctly on his math test. what percent of the questions did he get correct

Answers

Answer:it would be 80%

Step-by-step explanation:

Answer:

80%

Step-by-step explanation:

Divide 32/40  

you get .80

multiply .80 by 100

what is the width of orion’s belt? That is, what is the distance between alnitak and mintaka

Answers

Answer:width-184.08 light year distance between alnitak and mintaka-60 light years

Step-by-step explanation:

What is the distance between (-6,4) and (-8, 6)?

Answers

Answer:

[tex]\sqrt{8}=2\sqrt{2}[/tex]

Step-by-step explanation:

by using well known formula, distance on XOY plane

[tex]\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\=\sqrt{(-8-(-6))^2+(6-4)^2}

\\=\sqrt{(-2)^2+(2)^2}[/tex]

The distance between the points (-6,4) and (-8, 6) can be found using the distance formula derived from the Pythagorean Theorem. After substituting and simplifying, we find the distance to be sqrt[8] or about 2.83 when rounded to two decimal places.

To find the distance between two points, we use the distance formula derived from the Pythagorean Theorem: d = sqrt[(x2 - x1)² + (y2 - y1)²].

Here, we are trying to find the distance between points (-6,4) and (-8, 6). We assign (-6,4) to (x1, y1) and (-8,6) to (x2, y2).

So, substituting into our formula we get: d = sqrt[(-8 - (-6))² + (6 - 4)²] = sqrt[(2)^2 + (2)^2] = sqrt[4 + 4] = sqrt[8] or about 2.83 when rounded to two decimal places.

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a rectangle has an are of 240 square centimeters. The height of the rectangle is 24 centimeters. What is length of its base?

Answers

Answer:

The length is 10 cm

Step-by-step explanation:

The area of a rectangle is found by

A = l*w

240 = 24*l

Divide each side by 24

240/24 = 24l/24

10 =l

The length is 10 cm

Estimate the perimeter of the figure to the nearest whole number.

Answers

Answer:

See Explanation Below

Step-by-step explanation:

The question is incomplete (because the figure to calculate the perimeter is missing).

However from the comment attached to your question, I understand that the figure looks like a plus sign.

The perimeter of a plane shape is calculated by adding the length of each side of the shape.

Take for instance;

A square of length 5cm.

We know that a square has 4 equal sides; meaning that the length of the other sides are also 5cm

So, the perimeter of the square will be calculated as 5cm + 5cm + 5cm + 5cm = 20cm

Similarly, the perimeter of a triangle whose sides are 4ft, 3ft and 5ft will be calculated by adding up the length of the three sides.

Perimeter of the triangle = 4ft + 3ft + 5ft

Perimeter = 12ft.

Having explained how the perimeter of a plane shape is calculated; take for example, the attachment below.

(The sides are measured in centimetres)

The plus sign has 12 sides; Its perimeter is calculated by adding up the length of the 12 sides.

Perimeter = 3 + 7 + 7 + 5 + 5 + 5 + 5 + 2 + 2 + 4 + 4 + 3

Perimeter = 52cm

Answer:

stop tryna cheat and figure it out

Step-by-step explanation:

The value Of a painting begins at $12,000 and increases by $500 per year write an equation representing the value V of the painting at the end of any given year y.

Answers

The equation is 12000+500y=v.


Factor this expression completely.

39x − 52y + 13

Answers

Answer:

13(3x-4y+1)

Step-by-step explanation:

Rewrite 52 as (4)(13)

Rewrite 39 as (3)(13)

[tex]=(3*13)x+(4*13)y+13[/tex]

Then factor out the common term 13

[tex]13(3x-4y+1)[/tex]

That is your answer!

Have a nice day. Please vote brainliest!

Answer:

13(3x-4y+1)

Step-by-step explanation:

Started at 15 degrees and dropped 1/2 degrees each minute

Answers

Answer:

7.5 should be the answer sorry if its wrong i don't have all of the information

A 12 pack of cola costs $5.46. How much does one can of cola cost? In other words, find the unit rate of one can of cola.

Answers

Answer:

.45

Step-by-step explanation:

5.46 is a 12 pack

5.46/12 = .455

Answer:

$0.46

Explanation:

12 cans = $5.46

1 can = .455

Jonas and Marisol were the only candidates for sixth-grade class president. Jonas received 35 votes and Marisol received 75 votes.

Of the 75 votes cast for Marisol, 40% were girls. How many girls voted for Marisol?
****BRANLIEST OF 2

Answers

Answer:

30girls

Step-by-step explanation:

If out the 75 votes cast for Marisol, 40% were girls, the number of girls that votes for Marisol can be gotten by taking 40% of the total number of votes casted for Marisol as shown:

Number of girls = 40/100 × 75

Number of girls = 300/10

Number of girls that voted for Marisol = 30girls

Answer:

30 girls

Step-by-step explanation:

I just took the quiz and got thirty girls right. May I please have Brainliest?

combining like terms
-7r-9+8+5r
show how you got the answer

Answers

Answer:

-2r - 1

Step-by-step explanation:

The like terms here are  -7r  and 5r,  

The like terms for constants are -9 and 8

so add  -7r + 5r = -2r

and add -9 + 8 = -1

2/3 of the students in the cafeteria are in sixth grade how many students are in the cafeteria if 42 of them are sixth graders

Answers

Answer:

28

Step-by-step explanation:

2/3 times 42

answer: 28
step by step explanation: 2/3 times 42 is 28

please...please help offering 20 points

Answers

Answer:

Option D 0.84

Step-by-step explanation:

Answer:

0.84

Step-by-step explanation:

i think thats it because i know it cant be a negative

What is the volume of the figure

Answers

Answer:

96 cubic cm.

Step-by-step explanation:

Area= Length*Width*Height

Area= 6*4*4

Area= 96

Answer:

D

Step-by-step explanation:

Because Volume = length x width x height

4 x 4 x 6=

16 x 6

96

if one m&m is randomly selected from a dish containing 7 green, 4 red, 5 blue and 8 yellow m&ms, find the probability that a red is selected

Answers

Answer:

1/6 = 16.67%

Step-by-step explanation:

There are a total of 24 m&ms. The probability of picking an m&m that has a quantity of 4 is 4/24 = 1/6 = 16.67%

Determine the following for the transformed cosine function shown whose period is 1,080 degrees.

Frequency:

b in the equation:

Answers

Answer:

Frequency: 1/1080

b in the equation: 1/3

Step-by-step explanation:

The frequency is 1/1080 and the value of b is 1/3

How to determine the values of frequency and b?

The period is given as;

T = 1080

The frequency is calculated using:

f = 1/T

So, we have:

f = 1/1080

The value of b is calculated using:

2π/b = T

This gives

2π/b = 1080

Make b the subject

b = 2π/1080

Express 2π as degrees

b = 360/1080

Divide

b = 1/3

Hence, the frequency is 1/1080 and the value of b is 1/3

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A bag contains 1 blue, 2 green, 3 yellow, and 3 red marbles, as shown.
What is the probability of drawing a red marble out of the bag without looking?

Answers

Answer:

3/9

Step-by-step explanation:

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