Question

How do solve the following linear system?: `5x - 3y = -29 , x - 3y = -6`?

Answer 1

`(-2, 1/12)`

Explanation:

`x-3y=-6`
`x=3y-6`

plug in `x` for `5x-3y=-29`
`5(3y-6)-3y=-29`
`15y-30-3y=-29`
`12y=1`
`y=1/12`

plug in `y` in `x=3y-6` to find `x`
`x=3(1/12)-6`
`x=4-6`
`x=-2`

`(-2, 1/12)`