Question

Solve the system of equations using substitution. Show your work.

3x + 2y = 7

y = x - 4

Answer 1

x = 3

y = -1

Explanation:

Finding X

Substitute y into the 1st equation

3x + 2(x-8) = 7

Simplify

3x + 2x-8 = 7

Combine like terms

5x - 8 = 7

Move the constant (-8) to the right

5x = 7+ 8

Simplify

5x = 15

Divide both sides by 5

x = 3

Finding Y

Now since you know x is 3 substitute that into the 2nd equation

y = 3 - 4

y = -1

Answer 2

X=3
Y=-1 ...................