Solve 4x-2y+3sqrt{5}=0

$$4x-2y+3 \sqrt{ 5 } = 0$$

Solve for x

$$x=\frac{y}{2}-\frac{3\sqrt{5}}{4}$$

Steps for Solving Linear Equation

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

$$4x+3\sqrt{5}=2y$$

Subtract 3\sqrt{5} from both sides.

$$4x=2y-3\sqrt{5}$$

Divide both sides by 4.

$$\frac{4x}{4}=\frac{2y-3\sqrt{5}}{4}$$

Dividing by 4 undoes the multiplication by 4.

$$x=\frac{2y-3\sqrt{5}}{4}$$

Divide 2y-3\sqrt{5} by 4.

$$x=\frac{y}{2}-\frac{3\sqrt{5}}{4}$$

Solve for y

$$y=2x+\frac{3\sqrt{5}}{2}$$

Steps for Solving Linear Equation

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

$$-2y+3\sqrt{5}=-4x$$

Subtract 3\sqrt{5} from both sides.

$$-2y=-4x-3\sqrt{5}$$

Divide both sides by -2.

$$\frac{-2y}{-2}=\frac{-4x-3\sqrt{5}}{-2}$$

Dividing by -2 undoes the multiplication by -2.

$$y=\frac{-4x-3\sqrt{5}}{-2}$$

Divide -4x-3\sqrt{5} by -2.

$$y=2x+\frac{3\sqrt{5}}{2}$$