Question

1/v + 1/-15 = 1/-5 than find the value of v​

Answer 1

Answer:

$\huge\boxed{v=-7.5}$

Step-by-step explanation:

$\dfrac{1}{v}+\dfrac{1}{-15}=\dfrac{1}{-5}\\\\\dfrac{1}{v}-\dfrac{1}{15}=-\dfrac{1}{5}\\.\ \ \ \ ^{+\frac{1}{15}}\qquad^{+\frac{1}{15}}\\\\\dfrac{1}{v}=\dfrac{1}{15}-\dfrac{1\cdot3}{5\cdot3}\\\\\dfrac{1}{v}=\dfrac{1}{15}-\dfrac{3}{15}\\\\\dfrac{1}{v}=-\dfrac{2}{15}\qquad|\text{cross multiply}\\\\(2)(v)=(1)(-15)\\\\2v=-15\\\\\dfrac{2v}{2}=\dfrac{-15}{2}\\\\v=-7.5$

Answer 2

$\huge\bold\red{Solution✧}$

$\frac{1}{v} + ( - \frac{1}{15} ) = ( - \frac{1}{5} ) \\ \\ = > \frac{1}{v } - \frac{1}{15} = - \frac{1}{5} \\ \\ = > \frac{1}{v} = - \frac{1}{5} + \frac{1}{15} \\ \\ = > \frac{1}{v} = \frac{ - 3 + 1}{15} \\ \\ = > \frac{1}{v} = \frac{ - 2}{15} \\ \\ \fbox{cross \: multiplying} = > - 2v = 15 \\ \\ = > v = - \frac{15}{2} \\ \\ \bold{v = - 7.5}$

$\fbox{Hope This Helps You ❤}$