Solve 55mi/1h=440mi/xh

$$\frac { 55 mi } { 1 h } = \frac { 440 mi } { x h }$$

Solve for m

$$\left\{\begin{matrix}m=0\text{, }&x\neq 0\text{ and }h\neq 0\\m\in \mathrm{C}\text{, }&h\neq 0\text{ and }x=8\end{matrix}\right.$$

Steps for Solving Linear Equation

Multiply both sides of the equation by hx, the least common multiple of 1h,xh.

$$x\times 55mi=440mi$$

Multiply 55 and i to get 55i.

$$x\times \left(55i\right)m=440mi$$

Multiply 440 and i to get 440i.

$$x\times \left(55i\right)m=440im$$

Subtract 440im from both sides.

$$x\times \left(55i\right)m-440im=0$$

Combine all terms containing m.

$$\left(x\times \left(55i\right)-440i\right)m=0$$

The equation is in standard form.

$$\left(55ix-440i\right)m=0$$

Divide 0 by 55ix-440i.

$$m=0$$

Solve for h

$$h\neq 0$$

$$x=8\text{ or }\left(m=0\text{ and }x\neq 0\right)$$