Find the solution to the system of equations by using using either graphing or substitution.

Question

y = 6 - x and y = x - 2.

A. (2,4).

B. (- 4, 2).

C. ( 4, 2).

D. No solutions.

Answer 1

Substitute y = x - 2 into the first equation:

x - 2 = 6 - x

2x = 8

x = 4

Substitute x = 4 back into either equation to find y:

y = 6 - x = 6 - 4 = 2

Therefore, the solution to the system of equations is (4, 2), so the answer is C.