Answer:
x=2, y=5 or (2,5)
Step-by-step explanation:
The elimination method is adding or subtracting two equations from each other to get rid of a variable.
I am going to get rid of y first.
2y-2x=3
-2y+5x=3
When you use elimination to add and subtract, you get the equation:
3x=6
Simplify for:
x=2
There are two ways to find y. The easier way is to plug x=2 back into one of the original equations and solve, or you can use elimination again. To use elimination to find y:
First we have to make it so that our x's will add or subtract to 0 in the two original equations by multiplying.
5 * (2y-2x=3) = 10y-10x=15
2 * (-2y+5x=3) = -4y+10x=15
Adding those two equations together will give us:
6y=30
Simplify:
y=5
