Question

Mitchell solves the following system of equations using the elimination method.

−2x+3y=6
4x−6y=−6

He chooses to eliminate the variable x.

Which statement correctly describes his process and solution?

Answer 1

Mitchell multiplies −2x+3y=6 by 2 and then adds the equations. He finds the result is a contradiction, so there is no solution.

Explanation:

Answer 2

Multiply the first equation by 2 or divide the second one my 2, to get the #X opposites, to cancel each other out

-4x+6y=12
4x-6y=-6

Or

-2x+3y=6
2x-3y=-3

there’s no solution either way