Using the formula 1/x=1/y-1/z, express x in terms of y and z.

Question

Mathematics

Francisco Osborne

30 August, 20:21

Using the formula 1/x=1/y-1/z, express x in terms of y and z.

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Answers (1)

Know the Answer?

Alonzo Reid · Answer 1

x = yz / (z-y)

Step-by-step explanation:

Simplify the equation as below:

Bring x on left hand side and y & z on the right hand side.

/frac{1}{x} = / frac{1}{y}+/frac{1}{z}//

/frac{1}{x} = / frac{ (z-y) }{yz}//

x = / frac{yz}{ (z-y) }