Solve 9+4/v-4=5v/v-4

$$9 + \frac { 4 } { v - 4 } = \frac { 5 v } { v - 4 }$$

Solve for v

$$v=8$$

Steps for Solving Linear Equation

Variable v cannot be equal to 4 since division by zero is not defined. Multiply both sides of the equation by v-4.

$$\left(v-4\right)\times 9+4=5v$$

Use the distributive property to multiply v-4 by 9.

$$9v-36+4=5v$$

Add -36 and 4 to get -32.

$$9v-32=5v$$

Subtract 5v from both sides.

$$9v-32-5v=0$$

Combine 9v and -5v to get 4v.

$$4v-32=0$$

Add 32 to both sides. Anything plus zero gives itself.

$$4v=32$$

Divide both sides by 4.

$$v=\frac{32}{4}$$

Divide 32 by 4 to get 8.

$$v=8$$