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

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

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