Solve r-p/9=S

$$\frac { r - p } { 9 } = S$$

Solve for S

$$S=\frac{r-p}{9}$$

Solution Steps

Divide each term of r-p by 9 to get \frac{1}{9}r-\frac{1}{9}p.

$$\frac{1}{9}r-\frac{1}{9}p=S$$

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

$$S=\frac{1}{9}r-\frac{1}{9}p$$

Solve for p

$$p=r-9S$$

Steps for Solving Linear Equation

Divide each term of r-p by 9 to get \frac{1}{9}r-\frac{1}{9}p.

$$\frac{1}{9}r-\frac{1}{9}p=S$$

Subtract \frac{1}{9}r from both sides.

$$-\frac{1}{9}p=S-\frac{1}{9}r$$

The equation is in standard form.

$$-\frac{1}{9}p=-\frac{r}{9}+S$$

Multiply both sides by -9.

$$\frac{-\frac{1}{9}p}{-\frac{1}{9}}=\frac{-\frac{r}{9}+S}{-\frac{1}{9}}$$

Dividing by -\frac{1}{9} undoes the multiplication by -\frac{1}{9}.

$$p=\frac{-\frac{r}{9}+S}{-\frac{1}{9}}$$

Divide S-\frac{r}{9} by -\frac{1}{9} by multiplying S-\frac{r}{9} by the reciprocal of -\frac{1}{9}.

$$p=r-9S$$