Question

What is the solution to the system of equations? Use the substitution method.

4x+2y=11
x-2=-2y

A. (3,-1/2)
B. (0,-2)
C. (0, -11/2)
D. (7, -5/2)

Answer 1

The answer is:
4x+2y=11} 4x+2y=11} x=2-2y
x-2=-2y } x+2y=2 } x=2-2(-3/6)
x=2-(-6/6)
4(2-2y)+2y=11 x=2-(-1)
8-8y+2y=11 x=3
8-6y=11
-6y=11-8
-6y=3/-6
y=-3/6=-1/2

So for my opinion the solution is A.(3,-1/2)