Solve S=Delta/rs+c

$$S = \frac { \Delta } { r s } + c$$

Solve for c

$$c=\frac{Srs-\Delta }{rs}$$

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

Steps for Solving Linear Equation

Multiply both sides of the equation by rs.

$$Srs=\Delta +rsc$$

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

$$\Delta +rsc=Srs$$

Subtract \Delta from both sides.

$$rsc=Srs-\Delta$$

Divide both sides by rs.

$$\frac{rsc}{rs}=\frac{Srs-\Delta }{rs}$$

Dividing by rs undoes the multiplication by rs.

$$c=\frac{Srs-\Delta }{rs}$$

Divide Ssr-\Delta by rs.

$$c=S-\frac{\Delta }{rs}$$

Solve for S

$$S=\frac{crs+\Delta }{rs}$$

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