Question

A system of equations is shown below:

3x - y = 2
x + y = 6

The x-coordinate of the solution to this system of equations is _____.

Answer 1

3x - y = 2
x + y = 6
One y is negative and the other is positive, so they cancel each other out.
We are left with:
4x = 8
Divide each side by 4 to isolate x.
x = 2 <----- Answer. (:
We can plug it in to find y as well.
3(2) - y = 2
6 - y = 2
-6 -6
-y = -4
y = 4

We can plug both in to check the answer.
3x - y = 2
x + y = 6
3(2) - 4 = 2
6 - 4 = 2
2 = 2 True.
x + y = 6
2 + 4 = 6
6 = 6 True.

Answer 2

Thank you! :D

Answer 3

You're welcome! (: