Question

If 3x +5y =k and 6x + my=10 have infinitely many solutions then find the value of k and m.​

Answer 1

Answer:

For infinite many solution,

$\frac{3}{6} = \frac{5}{m} = \frac{k}{10}$

i.e,

$\frac{5}{m} = \frac{1}{2} \: \: \: and \: \: \: \frac{k}{10} = \frac{1}{2}$

$m = 10 \: \: \: and \: \: \: k = 5$