Find the solution to the system of equations by using using either graphing or substitution.
y = 6 - x and y = x - 2.
A. (2,4).
B. (- 4, 2).
C. ( 4, 2).
D. No solutions.
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.