Solve MPC+MPS=1

$$M P C + M P S = 1$$

Solve for C

$$C=\frac{1-MPS}{MP}$$

$$P\neq 0\text{ and }M\neq 0$$

Steps for Solving Linear Equation

Subtract MPS from both sides.

$$MPC=1-MPS$$

Divide both sides by MP.

$$\frac{MPC}{MP}=\frac{1-MPS}{MP}$$

Dividing by MP undoes the multiplication by MP.

$$C=\frac{1-MPS}{MP}$$

Divide -MPS+1 by MP.

$$C=-S+\frac{1}{MP}$$

Solve for M

$$M=\frac{1}{P\left(C+S\right)}$$

$$C\neq -S\text{ and }P\neq 0$$

Steps for Solving Linear Equation

Combine all terms containing M.

$$\left(PC+PS\right)M=1$$

The equation is in standard form.

$$\left(CP+PS\right)M=1$$

Divide both sides by PC+PS.

$$\frac{\left(CP+PS\right)M}{CP+PS}=\frac{1}{CP+PS}$$

Dividing by PC+PS undoes the multiplication by PC+PS.

$$M=\frac{1}{CP+PS}$$

Divide 1 by PC+PS.

$$M=\frac{1}{P\left(C+S\right)}$$