Question

The system of liner equations $5x+my=10$ and $4x+ny=8$ have infinitely many solutions , where m and $n$ are positive integers . Then, thue minimum possible value of $(m+n)$ is equal to

Answer 1

$5x+my=10$

$4x+ny=8$

For $\infty$ $so{l}^n$. either plane is some

$\frac{5}{4}=\frac{m}{n}=\frac{10}{8}\equiv \frac{m}{n}=\frac{5}{4}$

$m+n=5+4=9$