Explain why the addition method might be preferred over the substitution method for solving the system

2x-3y=5
5x+2y=6

2 answers

Two simple multiplications, and you can do it in your head.

multiply top equation by 2
4x-6y=10
multiply the bottom equation by 3
15x+6y=18

add 19x=38
x=2
Thank you this does help. But why is the addition method preferred over the substitution method for solving the system
2x-3y=5
5x+2y=6

I got how you got the 19x=38 but whatis the x=2(sorry not good with algebra)