Solve x-by=+1

$$x - b y = + 1$$

Solve for b (complex solution)

$$\left\{\begin{matrix}b=\frac{x-1}{y}\text{, }&y\neq 0\\b\in \mathrm{C}\text{, }&x=1\text{ and }y=0\end{matrix}\right.$$

Steps for Solving Linear Equation

Subtract x from both sides.

$$-by=1-x$$

The equation is in standard form.

$$\left(-y\right)b=1-x$$

Divide both sides by -y.

$$\frac{\left(-y\right)b}{-y}=\frac{1-x}{-y}$$

Dividing by -y undoes the multiplication by -y.

$$b=\frac{1-x}{-y}$$

Divide -x+1 by -y.

$$b=\frac{x-1}{y}$$

Solve for b

$$\left\{\begin{matrix}b=\frac{x-1}{y}\text{, }&y\neq 0\\b\in \mathrm{R}\text{, }&x=1\text{ and }y=0\end{matrix}\right.$$

Steps for Solving Linear Equation

Subtract x from both sides.

$$-by=1-x$$

The equation is in standard form.

$$\left(-y\right)b=1-x$$

Divide both sides by -y.

$$\frac{\left(-y\right)b}{-y}=\frac{1-x}{-y}$$

Dividing by -y undoes the multiplication by -y.

$$b=\frac{1-x}{-y}$$

Divide 1-x by -y.

$$b=\frac{x-1}{y}$$

Solve for x

$$x=by+1$$

Solution Steps

Add by to both sides.

$$x=1+by$$