Solve s-9/r=7/p

$$s - \frac { 9 } { r } = \frac { 7 } { p }$$

Solve for p

$$p=-\frac{7r}{9-rs}$$

$$r\neq 0\text{ and }s\neq \frac{9}{r}$$

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 pr, the least common multiple of r,p.

$$prs-p\times 9=r\times 7$$

Reorder the terms.

$$prs-9p=7r$$

Combine all terms containing p.

$$\left(rs-9\right)p=7r$$

Divide both sides by sr-9.

$$\frac{\left(rs-9\right)p}{rs-9}=\frac{7r}{rs-9}$$

Dividing by sr-9 undoes the multiplication by sr-9.

$$p=\frac{7r}{rs-9}$$

Variable p cannot be equal to 0.

$$p=\frac{7r}{rs-9}\text{, }p\neq 0$$

Solve for r

$$r=-\frac{9p}{7-ps}$$

$$p\neq 0\text{ and }s\neq \frac{7}{p}$$

Steps for Solving Linear Equation

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

$$prs-p\times 9=r\times 7$$

Subtract r\times 7 from both sides.

$$prs-p\times 9-r\times 7=0$$

Multiply -1 and 9 to get -9.

$$prs-9p-r\times 7=0$$

Multiply -1 and 7 to get -7.

$$prs-9p-7r=0$$

Add 9p to both sides. Anything plus zero gives itself.

$$prs-7r=9p$$

Combine all terms containing r.

$$\left(ps-7\right)r=9p$$

Divide both sides by sp-7.

$$\frac{\left(ps-7\right)r}{ps-7}=\frac{9p}{ps-7}$$

Dividing by sp-7 undoes the multiplication by sp-7.

$$r=\frac{9p}{ps-7}$$

Variable r cannot be equal to 0.

$$r=\frac{9p}{ps-7}\text{, }r\neq 0$$