Solve the following systems of equations:

Question

-2x+y=1
-4x+y=-1

(3,1)
(-1,3)
(-1,-3)
(1,3)

Could someone please help. I'm confused on how to solve this. Thank you!

Answer 1

-2x+y=1
-4x+y=-1
------------ subtract because coefficient of y is the same

-2x + 4x + 0 = 1+1 = 2

2 x = 2
x = 1
then
-2(1) + y = 1
y = 3
so in the end
(1,3)

Answer 2

There are a couple of ways to solve this. However, I worked backwards, plugging the numbers in your answer choices into the original equations.

This is what I found.

1, 3

Answer 3

okay thank you. I understand it better now.