Question

Solve for the indicated variable

Answer 1

`X_1=(YX_2)/(X_2-Y) \\\\`

Explanation:

`(1)/(Y)=(1)/(X_1)+(1)/(X_2)`

First subtract the 1/x2

`(1)/(Y) - (1)/(X_2)=(1)/(X_1)`

Next subtract the fractions on the left

`(X_2-Y)/(YX_2)=(1)/(X_1)\\`

Next Multiply by x1

`((X_1)X_2-Y)/(YX_2)=1\\`

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

`X_1=(YX_2)/(X_2-Y) \\\\`