substitution method
x-2y=8
8x+6y=42

Answers

Answer 1

Answer:

(6,-1)

Step-by-step explanation:

Hi there!

We are given the following system:
x-2y=8

8x+6y=42

And we want to solve it by substitution

Substitution is where we solve one of the equations in the system for a variable for an expression containing the other variable, then substitute that expression into the other equation, then solve the equation for that variable, then use the value of the solved variable to find the value of the first variable.

It's easier to solve a system for a variable if the leading coefficient in front of a variable is 1, like with x in x-2y=8

So let's solve the equation for x.

add 2y to both sides

x-2y=8
 +2y +2y
________________
x=2y+8
Now substitute 2y+8 as x in 8x+6y=42

8(2y+8)+6y=42

Multiply

16y+64+6y=42

Subtract 64 from both sides

16y+6y=-22
Add 16y and 6y together

22y=-22

Divide both sides by 22

y=-1

Substitute -1 as y into x=2y+8 to solve for x

x=2(-1)+8

Multiply

x=-2+8

x=6

The answer is x=6, y=-1, or as a point, (6, -1)
Hope this helps!

See more on solving systems of equations by substitution here: https://brainly.com/question/26559381


Related Questions

A camera has a listed price of $801.99 before tax. If the sales tax rate is 8.5%, find the total cost of the camera with sales tax included.

Round your answer to the nearest cent, as necessary.​

Answers

Answer:

$870.16 dollars

Step-by-step explanation:

Given the following question:
Original cost = $801.99
Sales tax of 8.5%

In order to find the answer, we find 8.5% of the original cost of the camera. After that, we simply add that number to the original cost of the camera to find our answer.

[tex]\frac{8.5\times801.99}{100} =8.5\times801.99=6816.915\div100=68.16915[/tex]
[tex]68.16915[/tex]
[tex]9>5[/tex]
[tex]68.17[/tex]

Sales tax is $68.17

[tex]801.99+68.17=870.16[/tex]

Total price for the camera including tax is "$870.16."

Hope this helps.

1.38 × 14 long multiplication

Answers

Answer: 19.32

Explanation:
1.38•14
______
19.32

The vertices of AXYZ are X(1, –4), Y(-2, -1), and Z(3, 1). For the
translation T-4.-3) (AXYZ), give the vertices of AX'Y'Z'.
()

Answers

Answer:

X'₍₋₃ , ₋₇), Y'₍₋₆ , ₋₄), Z'₍₋₁ , ₋₂₎

Step-by-step explanation:

X₍₁ , ₋₄₎ translation T₍₋₄ , ₋₃₎  => X'₍₁₊ ₋₄ , ₋₄₊ ₋₃₎ => X'₍₋₃ , ₋₇)

Y₍₋₂ , ₋₁₎ translation T₍₋₄ , ₋₃₎  => Y'₍₋₂ ₊ ₋₄ , ₋₁₊ ₋₃₎ => Y'₍₋₆ , ₋₄)

Z₍₃ , ₁₎ translation T₍₋₄ , ₋₃₎  => Z'₍₃₊ ₋₄ , ₁₊ ₋₃₎ => Z'₍₋₁ , ₋₂)

Please help! It's homework! Question 8.

Answers

Answer:

2467 = 200 (1.67) 2000

Step-by-step explanation:

diver theat ovlqme

Please help me I would most definitely appreciate it!

Answers

$421.40 is total between all the members
So all you got to do is divide by the total by the number of people. So your answer would be 421.40/28 = $15.05

solve the linear system using elimination

4x - 3y = 8
5x - 2y = -11

Answers

Answer:X=-7 and y=-12

Step-by-step explanation:

The solution is in the file below

If you know the circumference of a circle how do you find diameter?

Answers

Answer:

circumference of a circle = [tex]\pi[/tex]d

Step-by-step explanation:

circumference of a circle = 2[tex]\pi[/tex]r

where r = radius

diameter of a circle d = 2r

where r = radius

Therefore, circumference of a circle = [tex]\pi[/tex]d

What’s a number between 10 and 11?

I NEED HELP. DON’T TROLL

Answers

Answer:

You start with the decimals place since you can't go any further than another whole number.

10.1, 10.2, 10.3, 10.4, 10.5, 10.6, 10.7, 10.8, 10.9 and so on, in the tenths hundredths and thousandths place.

There can be only rational numbers or decimals

For example

10.210.710.310.23310.89

21. In 2019, the population in Modesto is 212,616. The annual growth rate of Modesto is 2%. Write an
exponential model to represent the population of Modesto. Then use this model to estimate the population after 8 years.

Answers

Answer:

A general formula for calculating the population growth rate is Gr = N / t. Gr is the growth rate measured in individuals, N is the change in population, and t is the period of time.

Step-by-step explanation:

SM

solve system of equations:

4x + 3y = 10
3x + y = 15

Answers

Answer:

x= 7  y= -6

Step-by-step explanation:

brainliest plzzz

how do you calculate the LCM for 128 and 256​

Answers

Answer:

I think its 256

Step-by-step explanation:

The LCM of 128 and 256 is 256. Steps to find LCM. Find the prime factorization of 128 128 = 2 × 2 × 2 × 2 × 2 × 2 × 2; Find the prime factorization of 256.

Answer:

256

Step-by-step explanation:

1- Find the prime factorization of 128

128 = 2 × 2 × 2 × 2 × 2 × 2 × 2

2- Find the prime factorization of 256

256 = 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2

3- Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the LCM:

LCM = 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2

4- LCM = 256

¿Alguien sabe como se llaman estas figuras en inglés?

Answers

Answer:

7. parallelogram

8. square

9. trapezoid (trapezium) (maybe "acute" - can't see the whole image)

10. rhombus

11. ?

12. rectangle

13. equilateral triangle

14. scalene triangle

15, 16, 17 and 18 are all isosceles triangles as they have 2 sides of equal length

peter comapred 2 pencils. The figure below shows the two lengths
3\4 an 5\6
what is the difference in the lengths of the 2 pencils.

Answers

5/6 cross multiply by 3/4 = 5/8

A car salesperson had $79,327 in total monthly sales in June and $88,798 in July. The salesperson earned $3,890 in commission from those combined sales.

What is the salesperson's commission as a percent of total sales for the two months?

Enter your answer, rounded to the nearest tenth of a percent, in the box.

%

Answers

Answer:

its 2.3%

Step-by-step explanation:

i did the test

Answer:

2.3%

Step-by-step explanation:

I took the test and forgot to submit my answer lol

Convert to inches.

Help please

Answers

Answer:

306

Step-by-step explanation:

8.5 × 36 = 306

Darius and Barb are playing a video game in which the higher score wins the game. Their scores are shown below.

Darius’s scores: 96, 54, 120, 87, 123

Barb’s scores: 92, 98, 96, 94, 110

Barb says that she is the winner. Darius says that it is a tie. Who is correct?

- Barb is correct if both the mean and median scores are considered.
- Barb is correct if only the median score is considered.
- Darius is correct if both the mean and median scores are considered.
- Darius is correct if only the median score is considered.

Answers

Answer:

D. Darius is correct if only the median score is considered.

Step-by-step explanation:

Answer:

The correct answer is option D: Darius is correct if only the median score is considered.

Step-by-step explanation:

I did the test and got it correct

Hope this helps! Have a nice day!

2. Given g(x) =1/2x+5, find the following.
a. g(4)
b. g(-10)
C. g(0)


Can someone please help me?

Answers

Answer:

Look below

Step-by-step explanation:

To do this, we have to substitute each number for x...

a. [tex]g(4)=\frac{1}{2}(4)+5=\frac{4}{2}+5=2+5=7[/tex]

b. [tex]g(-10)=\frac{1}{2}(-10)+5=\frac{-10}{2}+5=-5+5=0[/tex]

c. [tex]g(0)=\frac{1}{2}(0)+5=0+5=5[/tex]

help me find the answer!! 2-step equation

Answers

[tex] \looparrowright \sf3\leqslant \dfrac{y}{ - 5} + 7[/tex]

[tex] \looparrowright \sf3 - 7\leqslant \dfrac{y}{ - 5} [/tex]

[tex] \looparrowright \sf - 4\leqslant \dfrac{y}{ - 5} [/tex]

[tex] \looparrowright \sf - 4 \times - 5\leqslant {y}[/tex]

[tex] \looparrowright \sf 20\leqslant {y}[/tex]

9+16x=17x+4 solve for x

Answers

[tex]9 + 16x = 17x + 4 \\ 9 - 4 = 17x - 16x \\ 5 = x[/tex]

The answer would be x=5

hope  this helps!

                              ~god bless you~                              

    ~diva~

In 1990, a donut shop sold 500 donuts per day. In 2000, they sold 700 donuts per day. Assuming a linear relationship, how many donuts did they sell per day in 2015?

Answers

Answer:

1,000

Step-by-step explanation:

In 1990, 500 donuts were sold per day. In the year 2000 the number of donuts sold went up by 200 to reach 700 donuts per day. Since we are to assume it's a linear relationship, it would mean that every ten years the number of donuts sold would go up by 200/day. In 2010 the shop would be selling 900 donuts per day. So, in 2015, The shop would be selling 1,000 donuts per day since only 5 years had passed since 2010 and after 5 years it would only go up by 100/day.

ASAP PLSSS ALL MY POINTS Use sigma notation to represent the sum of the first seven terms of the following sequence: 4, 10, 16, …

the summation from n equals 1 to 7 of negative 4 plus 6 times n
the summation from n equals 1 to 7 of 4 plus 6 times n
the summation from n equals 1 to 7 of 2 plus 6 times n
the summation from n equals 1 to 7 of negative 2 plus 6 times n

Answers

Answer:

Step-by-step explanation:

Answer:

i really need help on this one too

Step-by-step explanation:

.

Need this tonight, no joking around, circled B as a placeholder, tell me the right one

Answers

the right answer is C

What is the equation of the line that passes through the point (3,−3) and has a slope of 0?

Answers

Answer:

x = 3

Step-by-step explanation:

A line with a slope of 0 is a horizontal line parallel to the x- axis with equation

x = c

where c is the value of the x- coordinates the line passes through.

the line passes through (3, - 3 ) with x- coordinate 3 , then

x = 3 ← equation of line

Answer:

f(x) = -3

Step-by-step explanation:

it will be a constant function because if the slope = 0, the y value is not changing

so the equation of the line, f(x) = ax+b, will be f(x) = 0x+b

f(x) = b, b is the y value here

(20+1 )*15 - 300*15= ?

PLEASE HELP!!

Answers

(20+1 )*15 - 300*1521 *15 - 300*1515(21 - 300)15 × - 279−4185

please help me I don’t get it and It has to be turned in in 15 mins
How do you graph Y= -3 +6
With this graph

Answers

Answer:

a horizontal line at three on the y axis

Step-by-step explanation:

13 is 65% of what number?​

Answers

Answer:

20

Step-by-step explanation:

set up equation

13/x=65/100

cross multiple: 1300=65x

divide 1300/65=20

A die is rolled 3 times. What is the
probability of getting I's on each
roll?

Answers

Answer:

1/6 I think. but for each individual its 1/6 but for all three, i don't know sorry

Step-by-step explanation:

probability is 0.463 percent

can somone help me with tjis pls

Answers

Answer:

LinePlane

Please mark as Brainliest

By using the definition of collinear and coplanar points, we will see that

7) Collinear points: All lie on the same line.8) Coplanar points: All lie on the same plane.What do collinear and coplanar mean?

We say that a given set of points is collinear if all the points belong to the same line, just to give an example, any pair of two points is collinear, as we always can find a line that passes through two points.

On other hand, a set of points is coplanar if the points lie on the same plane. Remember that a plane is defined by a line and a point outside of it.

With these definitions in mind, we can answer:

7) Collinear points: All lie on the same line.8) Coplanar points: All lie on the same plane.

If you want to learn more about collinear and coplanar, you can read:

https://brainly.com/question/1593959

A group of friends goes out to breakfast and decides to split the bill. Their bill is $34.00, plus they want to leave an 18% tip. The final amount will be split 4 ways.

What is the amount each person will pay?


$8.50

$9.78

$10.03

$10.18

Answers

Answer:

it's 10.03

Hope this helps :D

Step-by-step explanation:

Took the test

Answer:

$10.03

Step-by-step explanation:I took the test

Which expression is equivalent to mc014-1?

Answers

1/5(100x - 105y + 70) = 20x -21y + 14
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