Solve 5r-2t=10

$$5 r - 2 t = 10$$

Solve for r

$$r=\frac{2\left(t+5\right)}{5}$$

Steps for Solving Linear Equation

Add 2t to both sides.

$$5r=10+2t$$

The equation is in standard form.

$$5r=2t+10$$

Divide both sides by 5.

$$\frac{5r}{5}=\frac{2t+10}{5}$$

Dividing by 5 undoes the multiplication by 5.

$$r=\frac{2t+10}{5}$$

Divide 10+2t by 5.

$$r=\frac{2t}{5}+2$$

Solve for t

$$t=\frac{5\left(r-2\right)}{2}$$

Steps for Solving Linear Equation

Subtract 5r from both sides.

$$-2t=10-5r$$

Divide both sides by -2.

$$\frac{-2t}{-2}=\frac{10-5r}{-2}$$

Dividing by -2 undoes the multiplication by -2.

$$t=\frac{10-5r}{-2}$$

Divide 10-5r by -2.

$$t=\frac{5r}{2}-5$$