Question 1134703
First by substitution 
y=-4x+12
substitute into the top to get 2x+3(-4x+12)=11
2x-12x+36=11
-10x=-25
x=2.5 
substitute into second and y=2
check in top one and 2(2.5)+3(2) does =11
(2.5, 2)
Do by elimination
multiply top by -2
-4x-6y=-22
4x+y=12
-5y=-10
y=2
x=2.5

Do the second by elimination
Multiply the top by 3 and the bottom by 2, which will make 6y and -6y which cancel each other
9x+6y=72
4x-6y=84
13x=156
x=12
y=-6
(12, -6), and that checks
One can do substitution but more difficult here. x=(-2/3)y+8 or y=(-3/2)x+12 and put into the second equation.