Solve 2x-5y=10

$$2 x - 5 y = 10$$

Solve for x

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

Steps for Solving Linear Equation

Add 5y to both sides.

$$2x=10+5y$$

The equation is in standard form.

$$2x=5y+10$$

Divide both sides by 2.

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

Dividing by 2 undoes the multiplication by 2.

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

Divide 10+5y by 2.

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

Solve for y

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

Steps for Solving Linear Equation

Subtract 2x from both sides.

$$-5y=10-2x$$

Divide both sides by -5.

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

Dividing by -5 undoes the multiplication by -5.

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

Divide 10-2x by -5.

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