Solve +1=v/p-1/2

$$+ 1 = \frac { v } { p } - \frac { 1 } { 2 }$$

Solve for p

$$p=\frac{2v}{3}$$

$$v\neq 0$$

Steps for Solving Linear Equation

Variable p cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 2p, the least common multiple of p,2.

$$2p=2v+2p\left(-\frac{1}{2}\right)$$

Multiply 2 and -\frac{1}{2} to get -1.

$$2p=2v-p$$

Add p to both sides.

$$2p+p=2v$$

Combine 2p and p to get 3p.

$$3p=2v$$

Divide both sides by 3.

$$\frac{3p}{3}=\frac{2v}{3}$$

Dividing by 3 undoes the multiplication by 3.

$$p=\frac{2v}{3}$$

Variable p cannot be equal to 0.

$$p=\frac{2v}{3}\text{, }p\neq 0$$

Solve for v

$$v=\frac{3p}{2}$$

$$p\neq 0$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 2p, the least common multiple of p,2.

$$2p=2v+2p\left(-\frac{1}{2}\right)$$

Multiply 2 and -\frac{1}{2} to get -1.

$$2p=2v-p$$

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

$$2v-p=2p$$

Add p to both sides.

$$2v=2p+p$$

Combine 2p and p to get 3p.

$$2v=3p$$

Divide both sides by 2.

$$\frac{2v}{2}=\frac{3p}{2}$$

Dividing by 2 undoes the multiplication by 2.

$$v=\frac{3p}{2}$$