Solve 2x-5y=-20

$$2 x - 5 y = - 20$$

Solve for x

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

Steps for Solving Linear Equation

Add 5y to both sides.

$$2x=-20+5y$$

The equation is in standard form.

$$2x=5y-20$$

Divide both sides by 2.

$$\frac{2x}{2}=\frac{5y-20}{2}$$

Dividing by 2 undoes the multiplication by 2.

$$x=\frac{5y-20}{2}$$

Divide -20+5y by 2.

$$x=\frac{5y}{2}-10$$

Solve for y

$$y=\frac{2\left(x+10\right)}{5}$$

Steps for Solving Linear Equation

Subtract 2x from both sides.

$$-5y=-20-2x$$

The equation is in standard form.

$$-5y=-2x-20$$

Divide both sides by -5.

$$\frac{-5y}{-5}=\frac{-2x-20}{-5}$$

Dividing by -5 undoes the multiplication by -5.

$$y=\frac{-2x-20}{-5}$$

Divide -20-2x by -5.

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