Solve S=r-p/3

$$S = \frac { r - p } { 3 }$$

Solve for p

$$p=r-3S$$

Steps for Solving Linear Equation

Divide each term of r-p by 3 to get \frac{1}{3}r-\frac{1}{3}p.

$$S=\frac{1}{3}r-\frac{1}{3}p$$

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

$$\frac{1}{3}r-\frac{1}{3}p=S$$

Subtract \frac{1}{3}r from both sides.

$$-\frac{1}{3}p=S-\frac{1}{3}r$$

The equation is in standard form.

$$-\frac{1}{3}p=-\frac{r}{3}+S$$

Multiply both sides by -3.

$$\frac{-\frac{1}{3}p}{-\frac{1}{3}}=\frac{-\frac{r}{3}+S}{-\frac{1}{3}}$$

Dividing by -\frac{1}{3} undoes the multiplication by -\frac{1}{3}.

$$p=\frac{-\frac{r}{3}+S}{-\frac{1}{3}}$$

Divide S-\frac{r}{3} by -\frac{1}{3} by multiplying S-\frac{r}{3} by the reciprocal of -\frac{1}{3}.

$$p=r-3S$$

Solve for S

$$S=\frac{r-p}{3}$$

Solution Steps

Divide each term of r-p by 3 to get \frac{1}{3}r-\frac{1}{3}p.

$$S=\frac{1}{3}r-\frac{1}{3}p$$