Answer
(5,3)
Work Step by Step
Our two equations are:
1. x+2y=1
2. 3x5y=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. 3x5y=30
Now lets subtract the second equation from the first equation.
3x+6y=3

3x5y=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 xvalue.
x+2(3)=1
x6=1
Add 6 to both sides of the equation:
x=5
So our answer is the ordered pair (5,3)