Solve 3x-5y+15=0

$$3 x - 5 y + 15 = 0$$

Solve for x

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

Steps for Solving Linear Equation

Add 5y to both sides. Anything plus zero gives itself.

$$3x+15=5y$$

Subtract 15 from both sides.

$$3x=5y-15$$

Divide both sides by 3.

$$\frac{3x}{3}=\frac{5y-15}{3}$$

Dividing by 3 undoes the multiplication by 3.

$$x=\frac{5y-15}{3}$$

Divide -15+5y by 3.

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

Solve for y

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

Steps for Solving Linear Equation

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

$$-5y+15=-3x$$

Subtract 15 from both sides.

$$-5y=-3x-15$$

Divide both sides by -5.

$$\frac{-5y}{-5}=\frac{-3x-15}{-5}$$

Dividing by -5 undoes the multiplication by -5.

$$y=\frac{-3x-15}{-5}$$

Divide -3x-15 by -5.

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