Question

. 1/a - 1/b = 1/c + 1/d , find the value of c when
a = 1/2, b= 1/4, and d = 1/5​

Answer 1

Answer:

c = -1/7

Step-by-step explanation:

$\frac{1}{a} - \frac{1}{b} = \frac{1}{c} + \frac{1}{d} \\ \frac{1}{ \frac{1}{2} } - \frac{1}{ \frac{1}{4} } = \frac{1}{c} + \frac{1}{ \frac{1}{5} } \\ 2 - 4 = \frac{1}{c} + 5 \\ - 2 = \frac{1}{c} + 5 \\ \frac{1}{c} = - 2 - 5 \\ \frac{1}{c} = - 7 \\ c = - \frac{1}{7}$

hope you get your answer