Question 4826
Use substitution:
Since we know what x=, we can use this information to rewrite the following:
3(X) + 2Y = 8

3(3y+10) + 2Y = 8

clear the parentheses:
9y+30+2y=8

Consolidate like terms
11y+30=8

Subtract 30 from both sides:
11y=-22

Divide both sides by 11
y=-2

Substitute y back into either of your equations to find x:
3x+2(-2)=8
3x+-4=8
3x=12
x=4

Check with your other equation:
4=3(-2)+10
4=-6+10
4=4
True statement, so the solution set is (4,-2)