Question

Решите систему уравнений
1/m + 1/n=-1
3/m-2/n=7

Answer 1

$\begin{cases} \frac{1}{m}+\frac{1}{n}=-1 \\ \frac{3}{m}-\frac{2}{n}=7 \end{cases} \ \textless \ =\ \textgreater \ \begin{cases} \frac{2}{m}+\frac{2}{n}=-2 \\ \frac{3}{m}-\frac{2}{n}=7 \end{cases} \ \textless \ =\ \textgreater \ \begin{cases} \frac{5}{m}=5 \\ \frac{1}{m}+\frac{1}{n}=-1 \end{cases} \ \textless \ =\ \textgreater \ \\ \begin{cases} \frac{1}{m}=1 \\ 1+\frac{1}{n}=-1 \end{cases} \ \textless \ =\ \textgreater \ \begin{cases} \frac{1}{m}=1 \\ \frac{1}{n}=-2 \end{cases} \ \textless \ =\ \textgreater \ \begin{cases} m=1 \\ n=-\frac{1}{2} \end{cases}$

Ответ: $(1; -\frac{1}{2} )$