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

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

Solve for x

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

Solution Steps

Subtract \sqrt{3}y from both sides. Anything subtracted from zero gives its negation.

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

Add 5 to both sides.

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

Solve for y

$$y=-\frac{\sqrt{3}\left(x-5\right)}{3}$$

Steps for Solving Linear Equation

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

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

Add 5 to both sides.

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

The equation is in standard form.

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

Divide both sides by \sqrt{3}.

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

Dividing by \sqrt{3} undoes the multiplication by \sqrt{3}.

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

Divide -x+5 by \sqrt{3}.

$$y=\frac{\sqrt{3}\left(5-x\right)}{3}$$