Question

If the pair of equations 2x + 3y = 11 and (m + n)x + (2m – n)y = 33 has infinitely many solutions,

then find the values of ‘m’ and ‘n’.​

Answer 1

Answer:

If the lines coincident then the lines have infinitely many solutions.

m+n/2=2m-n/3=33/11

(m+n) /2=3

m+n=6

2m-n/3=3

2m-n=9

Therefore m=5,n=1