Solve 4x-6y+24=0

$$4 x - 6 y + 24 = 0$$

Solve for x

$$x=\frac{3\left(y-4\right)}{2}$$

Steps for Solving Linear Equation

Add 6y to both sides. Anything plus zero gives itself.

$$4x+24=6y$$

Subtract 24 from both sides.

$$4x=6y-24$$

Divide both sides by 4.

$$\frac{4x}{4}=\frac{6y-24}{4}$$

Dividing by 4 undoes the multiplication by 4.

$$x=\frac{6y-24}{4}$$

Divide -24+6y by 4.

$$x=\frac{3y}{2}-6$$

Solve for y

$$y=\frac{2\left(x+6\right)}{3}$$

Steps for Solving Linear Equation

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

$$-6y+24=-4x$$

Subtract 24 from both sides.

$$-6y=-4x-24$$

Divide both sides by -6.

$$\frac{-6y}{-6}=\frac{-4x-24}{-6}$$

Dividing by -6 undoes the multiplication by -6.

$$y=\frac{-4x-24}{-6}$$

Divide -4x-24 by -6.

$$y=\frac{2x}{3}+4$$