Solve for y 1/x=1/y+1/z

Problem

1/x=1/y+1/z

Solution

1. Isolate the term containing y by subtracting 1/z from both sides of the equation.

1/y=1/x−1/z

2. Find a common denominator for the terms on the right side, which is x*z

1/y=z/(x*z)−x/(x*z)

3. Combine the fractions on the right side into a single expression.

1/y=(z−x)/(x*z)

4. Invert both sides of the equation to solve for y

y=(x*z)/(z−x)

Final Answer

y=(x*z)/(z−x)

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