Solve 25=1.5V_{1}+V_{2}

$$25 = 1.5 V _ { 1 } + V _ { 2 }$$

Solve for V_1

$$V_{1}=\frac{50-2V_{2}}{3}$$

Steps for Solving Linear Equation

Swap sides so that all variable terms are on the left hand side.

$$1.5V_{1}+V_{2}=25$$

Subtract V_{2} from both sides.

$$1.5V_{1}=25-V_{2}$$

Divide both sides of the equation by 1.5, which is the same as multiplying both sides by the reciprocal of the fraction.

$$\frac{1.5V_{1}}{1.5}=\frac{25-V_{2}}{1.5}$$

Dividing by 1.5 undoes the multiplication by 1.5.

$$V_{1}=\frac{25-V_{2}}{1.5}$$

Divide 25-V_{2} by 1.5 by multiplying 25-V_{2} by the reciprocal of 1.5.

$$V_{1}=\frac{50-2V_{2}}{3}$$

Solve for V_2

$$V_{2}=-\frac{3V_{1}}{2}+25$$

Solution Steps

Swap sides so that all variable terms are on the left hand side.

$$1.5V_{1}+V_{2}=25$$

Subtract 1.5V_{1} from both sides.

$$V_{2}=25-1.5V_{1}$$