Question

Use the substitution method to solve the system of equations. Choose the correct ordered pair. ​

Answer 1

The ordered pair is(6,2)

Explanation:

2x+2y=16_equation1

y=x-4_equation 2

isolate y in(2x+2y=16)

2y=16-2x

divide both sides by 2

y=8-x

substitute y into equation 2

8-x=x-4

8+4=2x

12=2x

divide both sides by 2

x=6

substitute x into equation 1

2(6)+2y=16

12+2y=16

2y=16-12

2y=4

divide both sides by 2

y=2

Answer 2

The answer is A. 6-4 is 2. Plug both in for the first equation.