Solve P=5g/2g+7

$$P = \frac { 5 g } { 2 g + 7 }$$

Solve for g

$$g=\frac{7P}{5-2P}$$

$$P\neq \frac{5}{2}$$

Steps for Solving Linear Equation

Variable g cannot be equal to -\frac{7}{2} since division by zero is not defined. Multiply both sides of the equation by 2g+7.

$$P\left(2g+7\right)=5g$$

Use the distributive property to multiply P by 2g+7.

$$2Pg+7P=5g$$

Subtract 5g from both sides.

$$2Pg+7P-5g=0$$

Subtract 7P from both sides. Anything subtracted from zero gives its negation.

$$2Pg-5g=-7P$$

Combine all terms containing g.

$$\left(2P-5\right)g=-7P$$

Divide both sides by 2P-5.

$$\frac{\left(2P-5\right)g}{2P-5}=-\frac{7P}{2P-5}$$

Dividing by 2P-5 undoes the multiplication by 2P-5.

$$g=-\frac{7P}{2P-5}$$

Variable g cannot be equal to -\frac{7}{2}.

$$g=-\frac{7P}{2P-5}\text{, }g\neq -\frac{7}{2}$$

Solve for P

$$P=\frac{5g}{2g+7}$$

$$g\neq -\frac{7}{2}$$