Solve V=3+a-5/2a

$$V = 3 + \frac { a - 5 } { 2 a }$$

Solve for a

$$a=\frac{5}{7-2V}$$

$$V\neq \frac{7}{2}$$

Steps for Solving Linear Equation

Variable a cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 2a.

$$V\times 2a=2a\times 3+a-5$$

Multiply 2 and 3 to get 6.

$$V\times 2a=6a+a-5$$

Combine 6a and a to get 7a.

$$V\times 2a=7a-5$$

Subtract 7a from both sides.

$$V\times 2a-7a=-5$$

Combine all terms containing a.

$$\left(V\times 2-7\right)a=-5$$

The equation is in standard form.

$$\left(2V-7\right)a=-5$$

Divide both sides by 2V-7.

$$\frac{\left(2V-7\right)a}{2V-7}=-\frac{5}{2V-7}$$

Dividing by 2V-7 undoes the multiplication by 2V-7.

$$a=-\frac{5}{2V-7}$$

Variable a cannot be equal to 0.

$$a=-\frac{5}{2V-7}\text{, }a\neq 0$$

Solve for V

$$V=\frac{7}{2}-\frac{5}{2a}$$

$$a\neq 0$$