Solve 1/v+1/-20=1/10

$$\frac { 1 } { v } + \frac { 1 } { - 20 } = \frac { 1 } { 10 }$$

Solve for v

$$v = \frac{20}{3} = 6\frac{2}{3} \approx 6.666666667$$

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 20v, the least common multiple of v,-20,10.

$$20-v=2v$$

Subtract 2v from both sides.

$$20-v-2v=0$$

Combine -v and -2v to get -3v.

$$20-3v=0$$

Subtract 20 from both sides. Anything subtracted from zero gives its negation.

$$-3v=-20$$

Divide both sides by -3.

$$v=\frac{-20}{-3}$$

Fraction \frac{-20}{-3} can be simplified to \frac{20}{3} by removing the negative sign from both the numerator and the denominator.

$$v=\frac{20}{3}$$