Solve 6/v-1/2=7/2v

$$\frac { 6 } { v } - \frac { 1 } { 2 } = \frac { 7 } { 2 v }$$

Solve for v

$$v=5$$

Steps for Solving Linear Equation

Variable v cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 2v, the least common multiple of v,2,2v.

$$2\times 6+2v\left(-\frac{1}{2}\right)=7$$

Multiply 2 and 6 to get 12.

$$12+2v\left(-\frac{1}{2}\right)=7$$

Multiply 2 and -\frac{1}{2} to get -1.

$$12-v=7$$

Subtract 12 from both sides.

$$-v=7-12$$

Subtract 12 from 7 to get -5.

$$-v=-5$$

Multiply both sides by -1.

$$v=5$$