Nathan solves the following system of equations using the elimination method.
−2x+3y=64x−6y=−12
He chooses to eliminate the variable x.
Which statement correctly describes his process and solution?
1. Nathan multiplies −2x+3y=6 by 2 and then subtracts the equations. He finds the result is a contradiction, so there is no solution.
2. 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.
3. Nathan multiplies −2x+3y=6 by 2 and then adds the equations. He finds the result is a contradiction, so there is no solution.
4. 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.
