Solve p=1/5(2q-3)

$$p = \frac { 1 } { 5 } ( 2 q - 3 )$$

Solve for q

$$q=\frac{5p+3}{2}$$

Steps for Solving Linear Equation

Use the distributive property to multiply \frac{1}{5} by 2q-3.

$$p=\frac{2}{5}q-\frac{3}{5}$$

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

$$\frac{2}{5}q-\frac{3}{5}=p$$

Add \frac{3}{5} to both sides.

$$\frac{2}{5}q=p+\frac{3}{5}$$

Divide both sides of the equation by \frac{2}{5}, which is the same as multiplying both sides by the reciprocal of the fraction.

$$\frac{\frac{2}{5}q}{\frac{2}{5}}=\frac{p+\frac{3}{5}}{\frac{2}{5}}$$

Dividing by \frac{2}{5} undoes the multiplication by \frac{2}{5}.

$$q=\frac{p+\frac{3}{5}}{\frac{2}{5}}$$

Divide p+\frac{3}{5} by \frac{2}{5} by multiplying p+\frac{3}{5} by the reciprocal of \frac{2}{5}.

$$q=\frac{5p+3}{2}$$

Solve for p

$$p=\frac{2q-3}{5}$$

Solution Steps

Use the distributive property to multiply \frac{1}{5} by 2q-3.

$$p=\frac{2}{5}q-\frac{3}{5}$$