You can put this solution on YOUR website! solve the system using elimination:
-1/6x+1/4y=4
1/2x-2/3y=-11
***
-2x+3y=48 (mult. 1st eq by 12)
3x-4y=-66 (mult. 2nd eq by 6)
..
-6x+9y=144 (mult. by 3)
6x-8y=-132 (mult. by 2)
add
y=12
2x=3y-48
2x=36-48=-12
x=-6
..
Check:
-1/6x+1/4y=1+3=4
1/2x-2/3y=-3-8=-11
check ok