Answer
For this problem, we will chose elimination as our method to solve the problem because we can easily eliminate the y terms in both the equations.
Solution: (25/6, −23/12)
Work Step by Step
Our two systems are:
1. 5x+2y=17
2. x-2y=8
First lets add both equation together in order to cancel the y terms. The reason why the y-terms cancel out when you add the equations is because -2 is the additive inverse of 2.
We get the equation:
6x=25 (Divide by 6)
x=(25/6)
Now lets use that in our second equation to find the value of y:
(25/6)-2y=8 (subtract 25/6 on both sides)
-2y=23/6 (divide by -2 on both sides)
y=-23/12
So our ordered pairs are:
$(25/6, −23/12)$
