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?

A) Mitchell multiplies −2x+3y=6 by 2 and then adds the equations. He finds the result is an identity, so there are infinitely many solutions.

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

C) Mitchell multiplies −2x+3y=6 by 2 and then subtracts the equations. He finds the result is an identity, so there are infinitely many solutions.

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

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