Nathan solves the following system of equations using the elimination method.
-2x + 3y = 6
4x - 6y = -12
He chooses to eliminate the variable x.
Which statement correctly describes his process and solution?
A) Nathan 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) Nathan multiplies -2x + 3y = 6 by 2 and then subtracts the equations. He finds the result is a contradiction, so there is no solutions.
C) Nathan 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) Nathan multiplies -2x + 3y = 6 by 2 and then adds the equations. He finds the result is a contradiction, so there is no solutions.
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