Solve 15V-10V+U_{V}=0

$$15 V - 10 V + U _ { V } = 0$$

Solve for U_V

$$U_{V}=-5V$$

Solution Steps

Combine 15V and -10V to get 5V.

$$5V+U_{V}=0$$

Subtract 5V from both sides. Anything subtracted from zero gives its negation.

$$U_{V}=-5V$$

Solve for V

$$V=-\frac{U_{V}}{5}$$

Steps for Solving Linear Equation

Combine 15V and -10V to get 5V.

$$5V+U_{V}=0$$

Subtract U_{V} from both sides. Anything subtracted from zero gives its negation.

$$5V=-U_{V}$$

Divide both sides by 5.

$$\frac{5V}{5}=-\frac{U_{V}}{5}$$

Dividing by 5 undoes the multiplication by 5.

$$V=-\frac{U_{V}}{5}$$