X+y=-1
x-3y=11
(subtract equation)
4y = -12
y = -12/4
y= -3
(substitute y)
x-3=-1
x=-1+3
x=2
Answer > A (2,-3)
-5x-3y=12
x-3y=-6
you want to multiply the top equation by -1 to swap the signs and make the x's positive like the bottom equation
5x+3y=-12
x-3y=-6
then you have to multiply every value in the bottom equation by 5 so you are able to subtract it from the top equation
5x+3y=-12
5x-15y=-30
(subtract)
18y=18
y=18/18
y=1
(substitute y)
x-3=-6
x=-6+3
x=-3
answer = (-3,1)