Question

Solve the system of equations by substitution. What is the solution for x?

2x + y = 1
4x + 2y = −2

A. x = 0
B. x = 2
C. There is no x value, as there is no solution.
D. x can be any value, as there is an infinite number of solutions.

Answer 1

2x+y=1
4x+2y=-2

Solve by substitution:
y=1-2x

Plug in (1-2x) for y:
4x+2(1-2x)=-2
4x+2-4x=-2
2=-2
No solutions

The answer is C) no solutions