Question

How do you solve the system of equations by graphing and then classify the system as consistent or inconsistent `2x + 2y = 12` and `x - y = 4`?

Answer 1

`(x,y) = (5,1)`

Explanation:

Given
[1]`color(white)("XXX")2x+2y=12`
[2]`color(white)("XXX")x-y=4`

Multiply [2] by `2`
[3]`color(white)("XXX")2x-2y=8`

Add [1] and [3]
[4]`color(white)("XXX")4x=20`
Divide both sides by `4`
[5]`color(white)("XXX")x=5`

Subtract [3] from [1]
[6]`color(white)("XXX")4y=4`
Divide both sides by 4
[7]`color(white)("XXX")y=1`