Question

Solve the literal equation for y a=9y-3yx

Answer 1

`a=9y-3yx\\\\a=y\big(9-3x\big)\quad|:\big(9-3x\big)\\\\\\\boxed{y=(a)/(9-3x)}\qquad \text{for}\quad x\\eq 3`

Answer 2

The value of the equation for y is
`y=(a)/(9-3x)`.

Explanation:

Consider the provided equation.

`a=9y-3yx`

We need to solve the equation for y.

Take common y from right side.

`a=y(9-3x)`

Divide both the sides by 9-3x.

`(a)/(9-3x)=(y(9-3x))/(9-3x)`

`y=(a)/(9-3x)`

Hence, the value of the equation for y is
`y=(a)/(9-3x)`.