Solve 4x-5y+10=0

$$4 x - 5 y + 10 = 0$$

Solve for x

$$x=\frac{5\left(y-2\right)}{4}$$

Steps for Solving Linear Equation

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

$$4x+10=5y$$

Subtract 10 from both sides.

$$4x=5y-10$$

Divide both sides by 4.

$$\frac{4x}{4}=\frac{5y-10}{4}$$

Dividing by 4 undoes the multiplication by 4.

$$x=\frac{5y-10}{4}$$

Divide -10+5y by 4.

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

Solve for y

$$y=\frac{4x}{5}+2$$

Steps for Solving Linear Equation

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

$$-5y+10=-4x$$

Subtract 10 from both sides.

$$-5y=-4x-10$$

Divide both sides by -5.

$$\frac{-5y}{-5}=\frac{-4x-10}{-5}$$

Dividing by -5 undoes the multiplication by -5.

$$y=\frac{-4x-10}{-5}$$

Divide -4x-10 by -5.

$$y=\frac{4x}{5}+2$$