Solve 3y-4x+9=0

$$3 y - 4 x + 9 = 0$$

Solve for x

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

Steps for Solving Linear Equation

Subtract 3y from both sides. Anything subtracted from zero gives its negation.

$$-4x+9=-3y$$

Subtract 9 from both sides.

$$-4x=-3y-9$$

Divide both sides by -4.

$$\frac{-4x}{-4}=\frac{-3y-9}{-4}$$

Dividing by -4 undoes the multiplication by -4.

$$x=\frac{-3y-9}{-4}$$

Divide -3y-9 by -4.

$$x=\frac{3y+9}{4}$$

Solve for y

$$y=\frac{4x}{3}-3$$

Steps for Solving Linear Equation

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

$$3y+9=4x$$

Subtract 9 from both sides.

$$3y=4x-9$$

Divide both sides by 3.

$$\frac{3y}{3}=\frac{4x-9}{3}$$

Dividing by 3 undoes the multiplication by 3.

$$y=\frac{4x-9}{3}$$

Divide 4x-9 by 3.

$$y=\frac{4x}{3}-3$$