Solve 9q-4=3r-6

$$9 q - 4 = 3 r - 6$$

Solve for q

$$q=\frac{r}{3}-\frac{2}{9}$$

Steps for Solving Linear Equation

Add 4 to both sides.

$$9q=3r-6+4$$

Add -6 and 4 to get -2.

$$9q=3r-2$$

Divide both sides by 9.

$$\frac{9q}{9}=\frac{3r-2}{9}$$

Dividing by 9 undoes the multiplication by 9.

$$q=\frac{3r-2}{9}$$

Divide 3r-2 by 9.

$$q=\frac{r}{3}-\frac{2}{9}$$

Solve for r

$$r=3q+\frac{2}{3}$$

Steps for Solving Linear Equation

Swap sides so that all variable terms are on the left hand side.

$$3r-6=9q-4$$

Add 6 to both sides.

$$3r=9q-4+6$$

Add -4 and 6 to get 2.

$$3r=9q+2$$

Divide both sides by 3.

$$\frac{3r}{3}=\frac{9q+2}{3}$$

Dividing by 3 undoes the multiplication by 3.

$$r=\frac{9q+2}{3}$$

Divide 9q+2 by 3.

$$r=3q+\frac{2}{3}$$