Solve mx=15y/2-8y

$$m x = \frac { 15 y } { 2 } - 8 y$$

Solve for m (complex solution)

$$\left\{\begin{matrix}m=-\frac{y}{2x}\text{, }&x\neq 0\\m\in \mathrm{C}\text{, }&y=0\text{ and }x=0\end{matrix}\right.$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 2.

$$2mx=15y-16y$$

Combine 15y and -16y to get -y.

$$2mx=-y$$

The equation is in standard form.

$$2xm=-y$$

Divide both sides by 2x.

$$\frac{2xm}{2x}=-\frac{y}{2x}$$

Dividing by 2x undoes the multiplication by 2x.

$$m=-\frac{y}{2x}$$

Solve for x (complex solution)

$$\left\{\begin{matrix}x=-\frac{y}{2m}\text{, }&m\neq 0\\x\in \mathrm{C}\text{, }&y=0\text{ and }m=0\end{matrix}\right.$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 2.

$$2mx=15y-16y$$

Combine 15y and -16y to get -y.

$$2mx=-y$$

Divide both sides by 2m.

$$\frac{2mx}{2m}=-\frac{y}{2m}$$

Dividing by 2m undoes the multiplication by 2m.

$$x=-\frac{y}{2m}$$

Solve for m

$$\left\{\begin{matrix}m=-\frac{y}{2x}\text{, }&x\neq 0\\m\in \mathrm{R}\text{, }&y=0\text{ and }x=0\end{matrix}\right.$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 2.

$$2mx=15y-16y$$

Combine 15y and -16y to get -y.

$$2mx=-y$$

The equation is in standard form.

$$2xm=-y$$

Divide both sides by 2x.

$$\frac{2xm}{2x}=-\frac{y}{2x}$$

Dividing by 2x undoes the multiplication by 2x.

$$m=-\frac{y}{2x}$$

Solve for x

$$\left\{\begin{matrix}x=-\frac{y}{2m}\text{, }&m\neq 0\\x\in \mathrm{R}\text{, }&y=0\text{ and }m=0\end{matrix}\right.$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 2.

$$2mx=15y-16y$$

Combine 15y and -16y to get -y.

$$2mx=-y$$

Divide both sides by 2m.

$$\frac{2mx}{2m}=-\frac{y}{2m}$$

Dividing by 2m undoes the multiplication by 2m.

$$x=-\frac{y}{2m}$$