Question

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

Answer 1

$a=9y-3yx\\\\a=y\big(9-3x\big)\quad|:\big(9-3x\big)\\\\\\\boxed{y=\frac{a}{9-3x}}\qquad \text{for}\quad x\neq 3$

Answer 2

Answer:

The value of the equation for y is $y=\frac{a}{9-3x}$.

Step-by-step 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.

$\frac{a}{9-3x}=\frac{y(9-3x)}{9-3x}$  

$y=\frac{a}{9-3x}$  

Hence, the value of the equation for y is $y=\frac{a}{9-3x}$.