Question

if m/x + n/y = a and n/x + m/y= b,
find value of x and y???

Answer 1

@abbot

Answer 2

can u solve this?

Answer 3

\[\begin{cases}\dfrac{m}{x}+\dfrac{n}{y}=a\\\\
\dfrac{n}{x}+\dfrac{m}{y}=b\end{cases}\]
You can solve either equation for either \(x\) or \(y\). For example, from the first equation you could get
\[\frac{n}{y}=a-\frac{m}{x}~~\implies~~y=\frac{n}{a-\dfrac{m}{x}}=\frac{nx}{ax-m}\](Immediately, you know that \(x\neq\dfrac{m}{a}\).)

You could then substitute this into the second equation to solve for \(x\), etc