Solve G=6/5(p-89)

$$G = \frac { 6 } { 5 } ( p - 89 )$$

Solve for p

$$p=\frac{5G}{6}+89$$

Steps for Solving Linear Equation

Use the distributive property to multiply \frac{6}{5} by p-89.

$$G=\frac{6}{5}p-\frac{534}{5}$$

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

$$\frac{6}{5}p-\frac{534}{5}=G$$

Add \frac{534}{5} to both sides.

$$\frac{6}{5}p=G+\frac{534}{5}$$

Divide both sides of the equation by \frac{6}{5}, which is the same as multiplying both sides by the reciprocal of the fraction.

$$\frac{\frac{6}{5}p}{\frac{6}{5}}=\frac{G+\frac{534}{5}}{\frac{6}{5}}$$

Dividing by \frac{6}{5} undoes the multiplication by \frac{6}{5}.

$$p=\frac{G+\frac{534}{5}}{\frac{6}{5}}$$

Divide G+\frac{534}{5} by \frac{6}{5} by multiplying G+\frac{534}{5} by the reciprocal of \frac{6}{5}.

$$p=\frac{5G}{6}+89$$

Solve for G

$$G=\frac{6\left(p-89\right)}{5}$$

Solution Steps

Use the distributive property to multiply \frac{6}{5} by p-89.

$$G=\frac{6}{5}p-\frac{534}{5}$$