How to do a word problem with systems of equations

Question

Problem with 2x-3y=4 and -4x+5y=-8

Answer 1

You have 2 methods to solve: addition or substitution.

2x-3y=4     mult by 2   4x-6y=8

-4x+5y=8                   -4x+5y=8

Add the 2 equations together      0x -y=18     y=18

2x-3(18)=4       2x=4+54           2x = 58       x=29