Math CentralQuandaries & Queries


Question from Pulane, a student:

Hi math centre I've been trying to solve these equations for days now please help

Please help me solve them simultaneously
Thank you

Hi Pulane,

I would first write the equations as

6 \frac{1}{x} - \frac{1}{y} & = & 4\\
9 \frac{1}{x} + 1 & = & -2 \frac{1}{y}.

Now let $s = \frac{1}{x}, t = \frac{1}{y}$ and solve for $s$ and $t.$

Make sure you verify your answer.


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