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