Need to get rid of one variable to find one first. So I multiplied the second equation by -2 to get rid of y. So second equation becomes 12x-6y=24. add that to the first equation.
6x+6y=6
12x-6y=24
6x=30 then divide
x=5
then plug x into the original equation to get y.
-6(5) +6y=6
-30+6y=6 add 30 to both sides
6y=36 then divide
y=6
then put both into the original to make sure it makes sense
