Question

Find m if the system of equations mx + 3y + (3-m) = 0 and 12x + my -m = 0 has infinitely many solutions​

Answer 1

Answer:

given eq. has infinitely many solutions

on comparing with general eq.

a1x+b1y+c1=0

a2x+b2y+c2=0

a1/a2=b1/b2=c1/c2

therefore m/12= 3/m=3-m/-m

taking 1st and 2nd term we get,

m^2= 36

m=+-√6