Solve 4r+12s+9t=0

$$4 r + 12 s + 9 t = 0$$

Solve for r

$$r=-\frac{9t}{4}-3s$$

Steps for Solving Linear Equation

Subtract 12s from both sides. Anything subtracted from zero gives its negation.

$$4r+9t=-12s$$

Subtract 9t from both sides.

$$4r=-12s-9t$$

Divide both sides by 4.

$$\frac{4r}{4}=\frac{-12s-9t}{4}$$

Dividing by 4 undoes the multiplication by 4.

$$r=\frac{-12s-9t}{4}$$

Divide -12s-9t by 4.

$$r=-\frac{9t}{4}-3s$$

Solve for s

$$s=-\frac{r}{3}-\frac{3t}{4}$$

Steps for Solving Linear Equation

Subtract 4r from both sides. Anything subtracted from zero gives its negation.

$$12s+9t=-4r$$

Subtract 9t from both sides.

$$12s=-4r-9t$$

Divide both sides by 12.

$$\frac{12s}{12}=\frac{-4r-9t}{12}$$

Dividing by 12 undoes the multiplication by 12.

$$s=\frac{-4r-9t}{12}$$

Divide -4r-9t by 12.

$$s=-\frac{r}{3}-\frac{3t}{4}$$