Solve -i(15-m)x-n=100

$$- i ( 15 - m ) x - n = 100$$

Solve for m

$$\left\{\begin{matrix}m=-\frac{i\left(15ix+n+100\right)}{x}\text{, }&x\neq 0\\m\in \mathrm{C}\text{, }&n=-100\text{ and }x=0\end{matrix}\right.$$

Steps for Solving Linear Equation

Use the distributive property to multiply -i by 15-m.

$$\left(-15i+im\right)x-n=100$$

Use the distributive property to multiply -15i+im by x.

$$-15ix+imx-n=100$$

Subtract -15ix from both sides.

$$imx-n=100-\left(-15ix\right)$$

Add n to both sides.

$$imx=100-\left(-15ix\right)+n$$

Multiply -1 and -15i to get 15i.

$$imx=100+15ix+n$$

The equation is in standard form.

$$ixm=15ix+n+100$$

Divide both sides by ix.

$$\frac{ixm}{ix}=\frac{15ix+n+100}{ix}$$

Dividing by ix undoes the multiplication by ix.

$$m=\frac{15ix+n+100}{ix}$$

Divide 100+15ix+n by ix.

$$m=-\frac{i\left(15ix+n+100\right)}{x}$$

Solve for n

$$n=imx-15ix-100$$

Steps for Solving Linear Equation

Use the distributive property to multiply -i by 15-m.

$$\left(-15i+im\right)x-n=100$$

Use the distributive property to multiply -15i+im by x.

$$-15ix+imx-n=100$$

Subtract -15ix from both sides.

$$imx-n=100-\left(-15ix\right)$$

Subtract imx from both sides.

$$-n=100-\left(-15ix\right)-imx$$

Multiply -1 and -15i to get 15i.

$$-n=100+15ix-imx$$

Divide both sides by -1.

$$\frac{-n}{-1}=\frac{100+15ix-imx}{-1}$$

Dividing by -1 undoes the multiplication by -1.

$$n=\frac{100+15ix-imx}{-1}$$

Divide 100+15ix-imx by -1.

$$n=imx-15ix-100$$