How do you solve system of equation problem. example

Question

x+3y=32
-3x+2y+3
and
x+y=6
x-y=-9

Answer 1

x + 3y = 32
-3x + 2y = 3

Add 3x1st to 2nd to produce

11y = 99
y = 9
so,
x = 5
___________

x + y = 6
x - y = -9

add the two equations to get

2x = -3
x = -3/2
so,
y = 15/2