Step 1
5( x - 2 ) = 12 - y
5x - 10 = 12 - y
y = -5x + 12 + 10
y = -5x + 22
Step 2
Substitute each option
Option C is the correct answer.
Check
( 4 , 2) x = 4
y = -5x + 22
y = -5(4) + 22
y = -20 + 22
y = 2
Hence, (4,2) is the solution to the equation.