Simultaneous equations with fractions

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Question from Terence:

5/x-6/y=1
17/x+30/y=16
I been spending whole day to solve this question. Would be very grateful if you can help I try
The denominator value is a equations term which make is simultaneous equations so hard.

Hi Terence,

First of all write $5/x$ as $5 \times \large \frac{1}{x}$ and similarly for the other fractions. Next substitute $s = \large \frac1{x}$ and $t = \large \frac1{y}.$ Solve for $s$ and $t.$

Penny

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