Respuesta :

[tex]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[/tex]

Answer:

The value of the equation for y is [tex]y=\frac{a}{9-3x}[/tex].

Step-by-step explanation:

Consider the provided equation.

[tex]a=9y-3yx[/tex]  

We need to solve the equation for y.

Take common y from right side.

[tex]a=y(9-3x)[/tex]  

Divide both the sides by 9-3x.

[tex]\frac{a}{9-3x}=\frac{y(9-3x)}{9-3x}[/tex]  

[tex]y=\frac{a}{9-3x}[/tex]  

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