Solve 3u+2v=-21

$$3 u + 2 v = - 21$$

Solve for u

$$u=-\frac{2v}{3}-7$$

Steps for Solving Linear Equation

Subtract 2v from both sides.

$$3u=-21-2v$$

The equation is in standard form.

$$3u=-2v-21$$

Divide both sides by 3.

$$\frac{3u}{3}=\frac{-2v-21}{3}$$

Dividing by 3 undoes the multiplication by 3.

$$u=\frac{-2v-21}{3}$$

Divide -21-2v by 3.

$$u=-\frac{2v}{3}-7$$

Solve for v

$$v=\frac{-3u-21}{2}$$

Steps for Solving Linear Equation

Subtract 3u from both sides.

$$2v=-21-3u$$

The equation is in standard form.

$$2v=-3u-21$$

Divide both sides by 2.

$$\frac{2v}{2}=\frac{-3u-21}{2}$$

Dividing by 2 undoes the multiplication by 2.

$$v=\frac{-3u-21}{2}$$