Solve 55m/Nm=440mi/xh

$$\frac { 55 m } { N m } = \frac { 440 mi } { x h }$$

Solve for N

$$N=-\frac{ihx}{8m}$$

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

Steps for Solving Linear Equation

Variable N cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by Nhmx, the least common multiple of Nm,xh.

$$hx\times 55m=mN\times 440mi$$

Multiply m and m to get m^{2}.

$$hx\times 55m=m^{2}N\times \left(440i\right)$$

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

$$m^{2}N\times \left(440i\right)=hx\times 55m$$

The equation is in standard form.

$$440im^{2}N=55hmx$$

Divide both sides by 440im^{2}.

$$\frac{440im^{2}N}{440im^{2}}=\frac{55hmx}{440im^{2}}$$

Dividing by 440im^{2} undoes the multiplication by 440im^{2}.

$$N=\frac{55hmx}{440im^{2}}$$

Divide 55hxm by 440im^{2}.

$$N=-\frac{ihx}{8m}$$

Variable N cannot be equal to 0.

$$N=-\frac{ihx}{8m}\text{, }N\neq 0$$

Solve for h

$$h=\frac{8iNm}{x}$$

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

Steps for Solving Linear Equation

Variable h cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by Nhmx, the least common multiple of Nm,xh.

$$hx\times 55m=Nm\times 440mi$$

Multiply m and m to get m^{2}.

$$hx\times 55m=Nm^{2}\times \left(440i\right)$$

The equation is in standard form.

$$55mxh=440iNm^{2}$$

Divide both sides by 55xm.

$$\frac{55mxh}{55mx}=\frac{440iNm^{2}}{55mx}$$

Dividing by 55xm undoes the multiplication by 55xm.

$$h=\frac{440iNm^{2}}{55mx}$$

Divide 440iNm^{2} by 55xm.

$$h=\frac{8iNm}{x}$$

Variable h cannot be equal to 0.

$$h=\frac{8iNm}{x}\text{, }h\neq 0$$