Solve 35=v/51+r

$$35 = \frac { v } { 51 + r }$$

Solve for r

$$r=\frac{v-1785}{35}$$

$$v\neq 0$$

Steps for Solving Linear Equation

Variable r cannot be equal to -51 since division by zero is not defined. Multiply both sides of the equation by r+51.

$$35\left(r+51\right)=v$$

Use the distributive property to multiply 35 by r+51.

$$35r+1785=v$$

Subtract 1785 from both sides.

$$35r=v-1785$$

Divide both sides by 35.

$$\frac{35r}{35}=\frac{v-1785}{35}$$

Dividing by 35 undoes the multiplication by 35.

$$r=\frac{v-1785}{35}$$

Divide v-1785 by 35.

$$r=\frac{v}{35}-51$$

Variable r cannot be equal to -51.

$$r=\frac{v}{35}-51\text{, }r\neq -51$$

Solve for v

$$v=35\left(r+51\right)$$

$$r\neq -51$$

Solution Steps

Multiply both sides of the equation by r+51.

$$35\left(r+51\right)=v$$

Use the distributive property to multiply 35 by r+51.

$$35r+1785=v$$

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

$$v=35r+1785$$