Answer
(5,-3)
Work Step by Step
Our two equations are:
1. x+2y=-1
2. 3x-5y=30
First we will try to have the same x term coefficient for both equations so that we can eliminate them and solve for the y terms.
In order to do that, lets multiply the first equation by 3. Now our two equations look like this:
1. 3x+6y=-3
2. 3x-5y=30
Now lets subtract the second equation from the first equation.
3x+6y=-3
-
3x-5y=30
______________
11y=-33
Now divide both sides by 11.
y=-3
Now that we know the value of y, lets substitute the value of y into the first equation in order to find the x-value.
x+2(-3)=-1
x-6=-1
Add 6 to both sides of the equation:
x=5
So our answer is the ordered pair (5,-3)
