Solve d/t+r=5/t

$$\frac { d } { t + r } = \frac { 5 } { t }$$

Solve for d

$$d=\frac{5\left(r+t\right)}{t}$$

$$t\neq -r\text{ and }t\neq 0$$

Steps for Solving Linear Equation

Multiply both sides of the equation by t\left(r+t\right), the least common multiple of t+r,t.

$$td=\left(r+t\right)\times 5$$

Use the distributive property to multiply r+t by 5.

$$td=5r+5t$$

Divide both sides by t.

$$\frac{td}{t}=\frac{5r+5t}{t}$$

Dividing by t undoes the multiplication by t.

$$d=\frac{5r+5t}{t}$$

Divide 5r+5t by t.

$$d=\frac{5\left(r+t\right)}{t}$$

Solve for r

$$r=\frac{t\left(d-5\right)}{5}$$

$$t\neq 0\text{ and }d\neq 0$$