Solve ab/x=1/m^2

$$\frac { a b } { x } = \frac { 1 } { m ^ { 2 } }$$

Solve for a

$$a=\frac{x}{bm^{2}}$$

$$m\neq 0\text{ and }b\neq 0\text{ and }x\neq 0$$

Steps for Solving Linear Equation

Multiply both sides of the equation by xm^{2}, the least common multiple of x,m^{2}.

$$m^{2}ab=x$$

Reorder the terms.

$$abm^{2}=x$$

The equation is in standard form.

$$bm^{2}a=x$$

Divide both sides by bm^{2}.

$$\frac{bm^{2}a}{bm^{2}}=\frac{x}{bm^{2}}$$

Dividing by bm^{2} undoes the multiplication by bm^{2}.

$$a=\frac{x}{bm^{2}}$$

Solve for b

$$b=\frac{x}{am^{2}}$$

$$m\neq 0\text{ and }a\neq 0\text{ and }x\neq 0$$

Steps for Solving Linear Equation

Multiply both sides of the equation by xm^{2}, the least common multiple of x,m^{2}.

$$m^{2}ab=x$$

Reorder the terms.

$$abm^{2}=x$$

The equation is in standard form.

$$am^{2}b=x$$

Divide both sides by am^{2}.

$$\frac{am^{2}b}{am^{2}}=\frac{x}{am^{2}}$$

Dividing by am^{2} undoes the multiplication by am^{2}.

$$b=\frac{x}{am^{2}}$$