How do you solve x+y=6 and x-y=2?

3 Answers
Mar 11, 2018

x=4
y=2

Explanation:

x+y=6|-y
x=6-y

color(red)(x)-y=2
color(red)(6-y)-y=2
6-2y=2|-6
-2y=-4|:(-2)
y=2

x+color(blue)(y)=6
x+color(blue)(2)=6|-2
x=4

Mar 11, 2018

x = 4

Explanation:

We can eliminate y from the equation by adding the two together, as y + -y = y-y = 0
We must also add the other terms.
2x = 8
x = 4

Mar 11, 2018

x= 4, y= 2

Explanation:

x+y=6, and x-y=2
You can eliminate it or subtitute it.

A. Eliminate

x+y=6
x-y=2
______ -
2y=4, y=2
And it makes x=4

B. Subtitute

x+y=6
y=6-x

x-y=x-(6-x)=2

2x-6=2
2x=8, x=4
x+y=4+y=6, y=2