For certain values of k and m, the system
3a + 2b = 2
a + 2b = k - 8a - mb
has infinitely many solutions (a,b). What are k and m?
Rearrange as
9a + (2 + m)b = k
We want the equations to match...multiply the first equation by 3
9a + 6b = 6
Then
(2 + m) = 6
m =4
And k =6