Question

Question 2 of 10

2 Points
Use the substitution method to solve the system of equations. Choose the
correct ordered pair.
2x+ 2y = 16
y=x
- 4
O A. (2,-2)
O B. (6, -2)
O C. (6,2)​

Answer 1

C

Explanation:

THe equation given is

2x+2y=16

y=x-4

We put 2nd equation in first equation and first solve for x:

`2x+2y=16\\2x+2(x-4)=16\\2x+2x-8=16\\4x=16+8\\4x=24\\x=(24)/(4)\\x=6`

Now, since we know y = x - 4, we substitute x = 6 and get y:

y = x - 4

y = 6 - 4

y =2

The correct ordered pair is (6,2), answer choice C