Question

Solve 5x − 6y = −38

Answer 1

(-3) *(5 x -6 y) =(-38) *(-3)
5 * (3 x +4 y ) = 0 * 5

You will have
-15 x +18 y = 114
15 x +20 y =0

you add  2 equations together
You will have  

38 y =114
y=3

Then you chance y =3 in equation 2,  you will have
3 x +4 *3 =0
3 x = -12
x =  - 4
You have x= -4 and y = 3 

(-4,3)