Answer
(5,-3)
Work Step by Step
You have the equations:x+2y=-1 and 3x-5y=30. Multiply the first equation by -3 in order to eliminate the x variable:
-3(x+2y=-1)
-3x-6y=3
Combine the equations:
3x-5y=30
-3x-6y=3
-11y=33 -divide both sides by -11-
y=-3
Plug in y=-3 into one of the equations:
x+2(-3)=-1 -distribute-
x-6=-1 -add 6 to both sides-
x=5
Check your work by plugging in x=5 and y=-3 into one of the equations:
3(5)-5(-3)=30
15+15=30
30=30
The solution is (5,-3)
