Question

Solve 4x−9y=13 for y.

Answer 1

`y = - (13)/(9) + (4)/(9) x`

Explanation:

`4x - 9y = 13`

`4x - 9y - 4x = 13 - 4x`

`- 9y = 13 - 4x`

`y = 9y / (9) = (13 - 4x) / ( - 9)`

`y = (13 - 4x) /( - 9)`

`y = 13 / ( - 9) - 4x / ( - 9)`

`y = - 13 / 9 - 4x / ( - 9)`

`y = - (13)/(9) - 4x / ( - 9)`

`y = - (13)/(9) + 4x / 9`

`\boxed{\green{y = - (13)/(9) + (4)/(9) x, x E R}}`