Solve t=frac{V_{t}-V_{0}}{2}

$$t = \frac { V _ { t } - V _ { 0 } } { 2 }$$

Solve for V_0

$$V_{0}=V_{t}-2t$$

Steps for Solving Linear Equation

Divide each term of V_{t}-V_{0} by 2 to get \frac{1}{2}V_{t}-\frac{1}{2}V_{0}.

$$t=\frac{1}{2}V_{t}-\frac{1}{2}V_{0}$$

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

$$\frac{1}{2}V_{t}-\frac{1}{2}V_{0}=t$$

Subtract \frac{1}{2}V_{t} from both sides.

$$-\frac{1}{2}V_{0}=t-\frac{1}{2}V_{t}$$

The equation is in standard form.

$$-\frac{1}{2}V_{0}=-\frac{V_{t}}{2}+t$$

Multiply both sides by -2.

$$\frac{-\frac{1}{2}V_{0}}{-\frac{1}{2}}=\frac{-\frac{V_{t}}{2}+t}{-\frac{1}{2}}$$

Dividing by -\frac{1}{2} undoes the multiplication by -\frac{1}{2}.

$$V_{0}=\frac{-\frac{V_{t}}{2}+t}{-\frac{1}{2}}$$

Divide t-\frac{V_{t}}{2} by -\frac{1}{2} by multiplying t-\frac{V_{t}}{2} by the reciprocal of -\frac{1}{2}.

$$V_{0}=V_{t}-2t$$

Solve for V_t

$$V_{t}=2t+V_{0}$$

Steps for Solving Linear Equation

Divide each term of V_{t}-V_{0} by 2 to get \frac{1}{2}V_{t}-\frac{1}{2}V_{0}.

$$t=\frac{1}{2}V_{t}-\frac{1}{2}V_{0}$$

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

$$\frac{1}{2}V_{t}-\frac{1}{2}V_{0}=t$$

Add \frac{1}{2}V_{0} to both sides.

$$\frac{1}{2}V_{t}=t+\frac{1}{2}V_{0}$$

The equation is in standard form.

$$\frac{1}{2}V_{t}=\frac{V_{0}}{2}+t$$

Multiply both sides by 2.

$$\frac{\frac{1}{2}V_{t}}{\frac{1}{2}}=\frac{\frac{V_{0}}{2}+t}{\frac{1}{2}}$$

Dividing by \frac{1}{2} undoes the multiplication by \frac{1}{2}.

$$V_{t}=\frac{\frac{V_{0}}{2}+t}{\frac{1}{2}}$$

Divide t+\frac{V_{0}}{2} by \frac{1}{2} by multiplying t+\frac{V_{0}}{2} by the reciprocal of \frac{1}{2}.

$$V_{t}=2t+V_{0}$$