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

Question

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

Accepted Answer

(a) $m=2,n=1$. (b) $x=\dfrac12,y=1$.

Reciprocal substitution I

Reciprocal substitution I

Solution:

Solution locked