If $$\frac{{xy}}{{x + y}} = a,$$ $$\frac{{xz}}{{x + z}} = b$$ and $$\frac{{yz}}{{y + z}} = c{\text{,}}$$ where a, b, c are all non - zero numbers, then x equals to? Options: A . &nbsp$$\frac{{2abc}}{{ab + bc - ac}}$$ B . &nbsp$$\frac{{2abc}}{{ab - bc + ac}}$$ C . &nbsp$$\frac{{2abc}}{{bc + ac - ab}}$$ D . &nbsp$$\frac{{2abc}}{{ab + bc + ac}}$$

If $$\frac{{xy}}{{x + y}} = a,$$ $$\frac{{xz}}{{x + z}} = b$$ and $$\frac{

Question

If $$\frac{{xy}}{{x + y}} = a,$$ $$\frac{{xz}}{{x + z}} = b$$ and $$\frac{{yz}}{{y + z}} = c{\text{,}}$$ where a, b, c are all non - zero numbers, then x equals to?

Options:

A . $$\frac{{2abc}}{{ab + bc - ac}}$$

B . $$\frac{{2abc}}{{ab - bc + ac}}$$

C . $$\frac{{2abc}}{{bc + ac - ab}}$$

D . $$\frac{{2abc}}{{ab + bc + ac}}$$

Answer: Option C

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