Solve 2x-my-1=0

$$2 x - m y - 1 = 0$$

Solve for m (complex solution)

$$\left\{\begin{matrix}m=\frac{2x-1}{y}\text{, }&y\neq 0\\m\in \mathrm{C}\text{, }&x=\frac{1}{2}\text{ and }y=0\end{matrix}\right.$$

Steps for Solving Linear Equation

Subtract 2x from both sides. Anything subtracted from zero gives its negation.

$$-my-1=-2x$$

Add 1 to both sides.

$$-my=-2x+1$$

The equation is in standard form.

$$\left(-y\right)m=1-2x$$

Divide both sides by -y.

$$\frac{\left(-y\right)m}{-y}=\frac{1-2x}{-y}$$

Dividing by -y undoes the multiplication by -y.

$$m=\frac{1-2x}{-y}$$

Divide 1-2x by -y.

$$m=-\frac{1-2x}{y}$$

Solve for m

$$\left\{\begin{matrix}m=\frac{2x-1}{y}\text{, }&y\neq 0\\m\in \mathrm{R}\text{, }&x=\frac{1}{2}\text{ and }y=0\end{matrix}\right.$$

Steps for Solving Linear Equation

Subtract 2x from both sides. Anything subtracted from zero gives its negation.

$$-my-1=-2x$$

Add 1 to both sides.

$$-my=-2x+1$$

The equation is in standard form.

$$\left(-y\right)m=1-2x$$

Divide both sides by -y.

$$\frac{\left(-y\right)m}{-y}=\frac{1-2x}{-y}$$

Dividing by -y undoes the multiplication by -y.

$$m=\frac{1-2x}{-y}$$

Divide -2x+1 by -y.

$$m=-\frac{1-2x}{y}$$

Solve for x

$$x=\frac{my+1}{2}$$

Steps for Solving Linear Equation

Add my to both sides. Anything plus zero gives itself.

$$2x-1=my$$

Add 1 to both sides.

$$2x=my+1$$

Divide both sides by 2.

$$\frac{2x}{2}=\frac{my+1}{2}$$

Dividing by 2 undoes the multiplication by 2.

$$x=\frac{my+1}{2}$$