Solve s-t/t=1/3

$$\frac { s - t } { t } = \frac { 1 } { 3 }$$

Solve for s

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

$$t\neq 0$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 3t, the least common multiple of t,3.

$$3\left(s-t\right)=t$$

Use the distributive property to multiply 3 by s-t.

$$3s-3t=t$$

Add 3t to both sides.

$$3s=t+3t$$

Combine t and 3t to get 4t.

$$3s=4t$$

Divide both sides by 3.

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

Dividing by 3 undoes the multiplication by 3.

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

Solve for t

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

$$s\neq 0$$

Steps for Solving Linear Equation

Variable t cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 3t, the least common multiple of t,3.

$$3\left(s-t\right)=t$$

Use the distributive property to multiply 3 by s-t.

$$3s-3t=t$$

Subtract t from both sides.

$$3s-3t-t=0$$

Combine -3t and -t to get -4t.

$$3s-4t=0$$

Subtract 3s from both sides. Anything subtracted from zero gives its negation.

$$-4t=-3s$$

Divide both sides by -4.

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

Dividing by -4 undoes the multiplication by -4.

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

Divide -3s by -4.

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

Variable t cannot be equal to 0.

$$t=\frac{3s}{4}\text{, }t\neq 0$$