Solve 1/-15=1/20+1/v

$$\frac { 1 } { - 15 } = \frac { 1 } { 20 } + \frac { 1 } { v }$$

Solve for v

$$v = -\frac{60}{7} = -8\frac{4}{7} \approx -8.571428571$$

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 60v, the least common multiple of -15,20,v.

$$-4v=60v\times \frac{1}{20}+60$$

Multiply 60 and \frac{1}{20} to get \frac{60}{20}.

$$-4v=\frac{60}{20}v+60$$

Divide 60 by 20 to get 3.

$$-4v=3v+60$$

Subtract 3v from both sides.

$$-4v-3v=60$$

Combine -4v and -3v to get -7v.

$$-7v=60$$

Divide both sides by -7.

$$v=\frac{60}{-7}$$

Fraction \frac{60}{-7} can be rewritten as -\frac{60}{7} by extracting the negative sign.

$$v=-\frac{60}{7}$$