Answer: x = 1; y = 4
Step-by-step explanation:
2y + 5x = 13
2y - 3x = 5
To be able to use the elimination method, one of 2ys has to be negative
To do that, you multiply one of the equations by -1, you can choose anyone but I chose the second equation.
The system of equations now look like this:
2y + 5x = 13 2y + 5x = 13
(2y - 3x = 5) -1 -2y + 3x = -5
Now you add both set of equations together and get:
8x = 8
Divide both sides by 8
x = 1
Now that we know what x is, we can substitute using one of the equations to find y. I chose the first equation, 2y + 5x = 13
2y + 5x = 13
Substitute x for 1
2y + 5(1) = 13
2y + 5 = 13
Subtract 5 from both sides
2y = 8
Divide both sides by 2
y = 4
Does that help? Hopefully, it does! :3
