Given that $m=\frac{1}{x}$ and $n=\frac{1}{y}$, the variables $m$ and $n$ satisfy the f

Question

Given that $m=\frac{1}{x}$ and $n=\frac{1}{y}$, the variables $m$ and $n$ satisfy the following pair of simultaneous equations. $m+2n=4$ $3m-n=5$ Solve the simultaneous equations to find $m$ and $n$. Hence, find $x$ and $y$.

Accepted Answer

$x=\frac12$, $y=1$.

Reciprocal substitution I

Reciprocal substitution I

Solution:

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