Question

Use the substitution method to solve the system of equations. Choose the correct ordered pair. x + 2y = 12 –x = –y – 6

A. (9, 3)
B. (7, 1)
C. (6, 0)
D. (8, 2)

Answer 1

(8,2)

Please make sure I interpreted your system correctly below.

x+2y=12

-x=-y-6

Explanation:

I assume the system is

x+2y=12

-x=-y-6

-----------

I'm going to multiply both sides of equation 2 by -1 giving me

x+2y=12

x=y+6

I'm now going to plug equation 2 into equation 1.

(y+6)+2y=12 I replaced x with y+6 in the first equation

y+6+2y=12

3y+6=12

3y=6

y=2

So

x=y+6

x=2+6

x=8

The solution is (8,2)