Solve x=Y*k-5

$$x = Y \cdot k - 5$$

Solve for Y (complex solution)

$$\left\{\begin{matrix}Y=\frac{x+5}{k}\text{, }&k\neq 0\\Y\in \mathrm{C}\text{, }&x=-5\text{ and }k=0\end{matrix}\right.$$

Steps for Solving Linear Equation

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

$$Yk-5=x$$

Add 5 to both sides.

$$Yk=x+5$$

The equation is in standard form.

$$kY=x+5$$

Divide both sides by k.

$$\frac{kY}{k}=\frac{x+5}{k}$$

Dividing by k undoes the multiplication by k.

$$Y=\frac{x+5}{k}$$

Solve for k (complex solution)

$$\left\{\begin{matrix}k=\frac{x+5}{Y}\text{, }&Y\neq 0\\k\in \mathrm{C}\text{, }&x=-5\text{ and }Y=0\end{matrix}\right.$$

Steps for Solving Linear Equation

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

$$Yk-5=x$$

Add 5 to both sides.

$$Yk=x+5$$

Divide both sides by Y.

$$\frac{Yk}{Y}=\frac{x+5}{Y}$$

Dividing by Y undoes the multiplication by Y.

$$k=\frac{x+5}{Y}$$

Solve for Y

$$\left\{\begin{matrix}Y=\frac{x+5}{k}\text{, }&k\neq 0\\Y\in \mathrm{R}\text{, }&x=-5\text{ and }k=0\end{matrix}\right.$$

Steps for Solving Linear Equation

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

$$Yk-5=x$$

Add 5 to both sides.

$$Yk=x+5$$

The equation is in standard form.

$$kY=x+5$$

Divide both sides by k.

$$\frac{kY}{k}=\frac{x+5}{k}$$

Dividing by k undoes the multiplication by k.

$$Y=\frac{x+5}{k}$$

Solve for k

$$\left\{\begin{matrix}k=\frac{x+5}{Y}\text{, }&Y\neq 0\\k\in \mathrm{R}\text{, }&x=-5\text{ and }Y=0\end{matrix}\right.$$

Steps for Solving Linear Equation

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

$$Yk-5=x$$

Add 5 to both sides.

$$Yk=x+5$$

Divide both sides by Y.

$$\frac{Yk}{Y}=\frac{x+5}{Y}$$

Dividing by Y undoes the multiplication by Y.

$$k=\frac{x+5}{Y}$$