Answer:
(C)[tex]-6x+8(-x+6) = 6[/tex]
Step-by-step explanation:
Given the system of equations
[tex]x+y=6 \\-6x+8y = 6[/tex]
From the first equation:
x+y=6
Making y the subject, we have:
y=-x+6
Substituting y=-x+6 into the second equation, we obtain:
[tex]-6x+8(-x+6) = 6[/tex]
The correct option is C.
NOTE: The goal of substitution is to reduce the number of unknown variables to 1. Therefore, after the substitution, if you still have the two unknown, you might have done something incorrect.
