Solve 2x-4y-1=0

$$2 x - 4 y - 1 = 0$$

Solve for x

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

Steps for Solving Linear Equation

Add 4y to both sides. Anything plus zero gives itself.

$$2x-1=4y$$

Add 1 to both sides.

$$2x=4y+1$$

Divide both sides by 2.

$$\frac{2x}{2}=\frac{4y+1}{2}$$

Dividing by 2 undoes the multiplication by 2.

$$x=\frac{4y+1}{2}$$

Divide 4y+1 by 2.

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

Solve for y

$$y=\frac{x}{2}-\frac{1}{4}$$

Steps for Solving Linear Equation

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

$$-4y-1=-2x$$

Add 1 to both sides.

$$-4y=-2x+1$$

The equation is in standard form.

$$-4y=1-2x$$

Divide both sides by -4.

$$\frac{-4y}{-4}=\frac{1-2x}{-4}$$

Dividing by -4 undoes the multiplication by -4.

$$y=\frac{1-2x}{-4}$$

Divide -2x+1 by -4.

$$y=\frac{x}{2}-\frac{1}{4}$$