Question

How do you solve the system of equations `14x - 9y = 2` and `x - 9y = - 50`?

Answer 1

`(x,y)=color(green)(""(4,6))`

Explanation:

Given
[1]`color(white)("XXX")14x-9y=2`
[2]`color(white)("XXX")x-9y=-50`

Subtraction [2] from [1]
[3]`color(white)("XXX")13x =52`

Dividing both sides of [3] by `13`
[4]`color(white)("XXX")x=4`

Substituting `4` for `x` in [2]
[5]`color(white)("XXX")4-9y=-50`

Subtracting `4` from both sides of [5]
[6]`color(white)("XXX")-9y=-54`

Dividing both sides of [6] by `(-9)`
[7]`color(white)("XXX")y=6`