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

Question

Marcelo Roberson

Mathematics

21 January, 20:56

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

+1

Answers (1)

Know the Answer?

Arely Glover · 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) }