Question

Solve using the substitution method. Show your work! Full credit will only be given if all steps are shown.

Answer 1

One of the ways to solve a system of equation is by using the substitution method

The values of x and y are -9 and 5

How to use the substitution method

The equations are given as:

2x + 6y = 12

x + y = -4

Make x the subject in the second equation

x = -4 - y

Substitute x = -4 - y in the first equation

2(-4 - y) + 6y = 12

Expand

-8 - 2y + 6y = 12

Add 8 to both sides

- 2y + 6y = 20

So, we have:

4y =20

Divide through by 4

y = 5

Recall that:

x = -4 - y

So, we have:

x = -4 - 5

x = -9

Hence, the values of x and y are -9 and 5

Read more about the substitution method at:

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