Solve a=frac{V-V_{0}}{t}

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

Solve for V

$$V=at+V_{0}$$

$$t\neq 0$$

Solution Steps

Multiply both sides of the equation by t.

$$at=V-V_{0}$$

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

$$V-V_{0}=at$$

Add V_{0} to both sides.

$$V=at+V_{0}$$

Solve for V_0

$$V_{0}=V-at$$

$$t\neq 0$$

Steps for Solving Linear Equation

Multiply both sides of the equation by t.

$$at=V-V_{0}$$

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

$$V-V_{0}=at$$

Subtract V from both sides.

$$-V_{0}=at-V$$

Divide both sides by -1.

$$\frac{-V_{0}}{-1}=\frac{at-V}{-1}$$

Dividing by -1 undoes the multiplication by -1.

$$V_{0}=\frac{at-V}{-1}$$

Divide at-V by -1.

$$V_{0}=V-at$$