Question

Solve for the indicated variable

Answer 1

Answer:

$X_1=\frac{YX_2}{X_2-Y}$

Step-by-step explanation:

$\frac{1}{Y}=\frac{1}{X_1}+\frac{1}{X_2}$

First subtract the 1/x2

$\frac{1}{Y} - \frac{1}{X_2}=\frac{1}{X_1}$

Next subtract the fractions on the left

$\frac{X_2-Y}{YX_2}=\frac{1}{X_1}$

Next Multiply by x1

$\frac{(X_1)X_2-Y}{YX_2}=1$

Next divide both sides by the remaining parts (not x1)

$X_1=\frac{YX_2}{X_2-Y}$