Three Equations, Three Unknowns.

[ƒ(x) → ∞]

Homework Statement

But somehow not that simple..

$$\frac{5xy}{x+y}$$ $$=6\left.$$

$$\frac{7yz}{y+z}$$ $$=10\left.$$

$$\frac{8zx}{z+x}$$ $$=15\left.$$

Homework Equations

The Attempt at a Solution

Tried and failed.

 

[epenguin]

Looks like if you turned the equations upside down you have something easy to solve.

I think they want you to see that, although you could no doubt slog it out by cross multiplying and eliminating.