Question 694952
1/2x+1/3y=-1/2
1/2x+3y=15/2
pick one equations and solve for x or y
1/2x+3y=15/2 multiply by 2 to get rid of fractions
x+6y=15
x=-6y+15
Now plug in the value of x into the other equations
1/2(-6y+15)+1/3y=-1/2 multiply by 6 to get rid of fractions
3(-6y+15)+2y=-3
-18y+45+2y=-3
-16y=-48
y=3
Now plug the value of y back in, to find x
x=-6(3)+15
x=-18+15
x=-3

(-3, 3)