yes i agree with her because elimination method is more simpler and shortest method to solve system of equations.
elimination method use to multiply of both equation in order to balance the variable x or y and then equate them.
example
x+2y=7 .....equation 1
x-3y=14 .......equation 2
so you can multiply equation 1 by -1 in order to equate x and get the value of y by saying equation 1 minus equation 2.