Question

Solve 5x – 6y = –38
3x + 4y = 0

Answer 1

You can use the substitution method or the reduction method to solve, I prefer the substitution method.

Isolate x or y
5x – 6y = –38
6y = 5x - -38
6y = 5x+38
y = (5x+38)/6

Answer 2

Then you can substitue y into the first equation, leaving you with only one variable.
y = (5x+38)/6
5x – 6y = –38

5x - 6((5x+38)/6)) = -38