Answer
(4,5)
Work Step by Step
You have the equations:3x+3y=27 and x-3y=-11. You solve them by elimination:
3x+3y=27 -combine the two equations-
1x-3y=-11
4x=16 -divide both sides by 4-
x=4
Plug in x=4 into one of the equations:
3(4)+3y=27 -distribute-
12+3y=27 -subtract 12 from both sides-
3y=15 -divide both sides by 3-
y=5
Check your work by plugging in x=4 and y=5 into an equation:
4-3(5)=-11 -distribute-
4-15=11 -simplify-
11=11
The solution is (4,5)