Not Three Egyptian Fractions

Algebra Level 2

1x+1y=131x+1z=151y+1z=17 \begin{aligned} \frac{1}{x} + \frac{1}{y} &=& \frac{1}{3}\\ \frac{1}{x} + \frac{1}{z} &=& \frac{1}{5}\\ \frac{1}{y} + \frac{1}{z} &=& \frac{1}{7} \\ \end{aligned}

Given the system of equations above, what is the value of zy \frac{z}{y}?

×

Problem Loading...

Note Loading...

Set Loading...