Respuesta :

9q-4=3r-6
+4=+4
9r=3r-2
9/9=3r-2/9
r=3r-2/9

Answer:

[tex]r=\frac{1}{3}(9q+2)[/tex]

Step-by-step explanation:

Given the equation:

[tex]9q-4 = 3r-6[/tex]           ...[1]

We have to rearrange the equation so q is the independent variable.

Add 6 to both sides of an equation in [1] we have;

[tex]9q+2= 3r[/tex]

Divide both sides by 3 we have;

[tex]\frac{1}{3}(9q+2) = r[/tex]

or

[tex]r=\frac{1}{3}(9q+2)[/tex]

where, q is the independent variable.

Therefore, the equation in which q is the independent variable  is,  [tex]r =\frac{1}{3}(9q+2)[/tex]