Solve 218/14v+81=10/2

$$\frac { 218 } { 14 v + 81 } = \frac { 10 } { 2 }$$

Solve for v

$$v = -\frac{187}{70} = -2\frac{47}{70} \approx -2.671428571$$

Steps for Solving Linear Equation

Variable v cannot be equal to -\frac{81}{14} since division by zero is not defined. Multiply both sides of the equation by 2\left(14v+81\right), the least common multiple of 14v+81,2.

$$2\times 218=\left(14v+81\right)\times 10$$

Multiply 2 and 218 to get 436.

$$436=\left(14v+81\right)\times 10$$

Use the distributive property to multiply 14v+81 by 10.

$$436=140v+810$$

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

$$140v+810=436$$

Subtract 810 from both sides.

$$140v=436-810$$

Subtract 810 from 436 to get -374.

$$140v=-374$$

Divide both sides by 140.

$$v=\frac{-374}{140}$$

Reduce the fraction \frac{-374}{140} to lowest terms by extracting and canceling out 2.

$$v=-\frac{187}{70}$$