Question

Solve the system of equations by elimination:

3x+y=5
2x-2y=-2

NO LINKS PLEASE

Answer 1

Answer: (1, 2)

x = 1 and y = 2

Explanation:

3x + y = 5 Multiply this equation by 2 => 6x + 2y = 10

2x -2y = -2 => + 2x - 2y = -2

8x = 8

**divide both sides by 8 => x = 1

*** substitute 1 for x in either equation to get y

3(1) + y = 5

-3 -3

y = 2

Answer 2

First divide both sides of 2x-2y=-2 by 2 to get x-y=-1. Now, you can simply add the equations together and you’d get 4x=4. Divide both sides by 4 to get x = 1. Then, plug in the 1 to one of the original equation (I used 2x-2y=-2):
2(1)-2y=-2
2-2y=-2
-2y=-4
y=2

So x = 1 and y = 2! :) hope this helps