Answer:
(6,-3)
or
x=6 y= -3
Step-by-step explanation:
Taking a quick look at this question we notice that we simply cannot add/subtract the two equations and eliminate a variable
What we can do is mulitply an equation to make the above true
let's try to get the first equation to have a 3y, and we can do this by multiplying it by 1.5 (this is legal because we do it to both sides)
So our new first equation is
1.5(3x+2y)=12*1.5
which simplifies to
4.5x+3y=18
We then add the two equatiosn
(4.5x+3y)+(2x-3y)=18+21
6.5x=39
x=6
Now that we know x we can plug that in and solve for y
3(6)+2y=12
18+2y=12
-6=2y
y= -3
