Solve x-ay=5

$$x - a y = 5$$

Solve for a (complex solution)

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

Steps for Solving Linear Equation

Subtract x from both sides.

$$-ay=5-x$$

The equation is in standard form.

$$\left(-y\right)a=5-x$$

Divide both sides by -y.

$$\frac{\left(-y\right)a}{-y}=\frac{5-x}{-y}$$

Dividing by -y undoes the multiplication by -y.

$$a=\frac{5-x}{-y}$$

Divide -x+5 by -y.

$$a=\frac{x-5}{y}$$

Solve for a

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

Steps for Solving Linear Equation

Subtract x from both sides.

$$-ay=5-x$$

The equation is in standard form.

$$\left(-y\right)a=5-x$$

Divide both sides by -y.

$$\frac{\left(-y\right)a}{-y}=\frac{5-x}{-y}$$

Dividing by -y undoes the multiplication by -y.

$$a=\frac{5-x}{-y}$$

Divide 5-x by -y.

$$a=\frac{x-5}{y}$$

Solve for x

$$x=ay+5$$

Solution Steps

Add ay to both sides.

$$x=5+ay$$