Question

If x + 1/y = 1 and y + 1/z = 1,then the value of z + 1/x is ?? ​

Answer 1

Answer:

x+1 is the answer

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Answer 2

Answer:

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Step-by-step explanation:

x + 1/y = 1 ——1

y + 1/z = 1 ——2

By using equation 1 and 2, substitute equation 2 into 1 by making y the subject of equation 2.

y = 1 - 1/z

Now with the value of y from equation 2, by substituting into equation 1, it allows you to have x and z together.

x + 1/(1 - 1/z) = 1

Multiply the entire equation by (1 - 1/z)

x -x/2 + 1 = 1 - 1/z

Bring the terms x and 1/z as per requested from the question together, then the other terms to the other side

x + 1/z = x/z

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