Solve 4x-2y-5=0

$$4x-2y-5=0$$

Solve for x

$$x=\frac{y}{2}+\frac{5}{4}$$

Steps for Solving Linear Equation

Add 2y to both sides. Anything plus zero gives itself.

$$4x-5=2y$$

Add 5 to both sides.

$$4x=2y+5$$

Divide both sides by 4.

$$\frac{4x}{4}=\frac{2y+5}{4}$$

Dividing by 4 undoes the multiplication by 4.

$$x=\frac{2y+5}{4}$$

Divide 2y+5 by 4.

$$x=\frac{y}{2}+\frac{5}{4}$$

Solve for y

$$y=2x-\frac{5}{2}$$

Steps for Solving Linear Equation

Subtract 4x from both sides. Anything subtracted from zero gives its negation.

$$-2y-5=-4x$$

Add 5 to both sides.

$$-2y=-4x+5$$

The equation is in standard form.

$$-2y=5-4x$$

Divide both sides by -2.

$$\frac{-2y}{-2}=\frac{5-4x}{-2}$$

Dividing by -2 undoes the multiplication by -2.

$$y=\frac{5-4x}{-2}$$

Divide -4x+5 by -2.

$$y=2x-\frac{5}{2}$$