Q:

What is the solution of the system? Use the elimination method. {−4x+y=−68x−2y=14 The only solution is (0, −32) . The only solution is (0, −6) . There is an infinite number of solutions. There is no solution.

Accepted Solution

A:
Assuming the equations are:

−4x+y=−6
8x−2y=14

The second equation can be rewritten (divide by -2) to 

-4x+y=-7

This system has no solutions. If you would draw them as lines, they are two parallel lines that never intersect.