plz help with systems
For certain values of k and m, the system
3a + 2b = 2
6a + 2b = k + 3a + mb
has infinitely many solutions (a,b). What are k and m?
In order for the system to have infinitely many solutions, k and m must both be equal to zero.
To get k = 2 and m = 0, you would need to modify the system to be:
3a + 2b = 2
6a + 2b = 2 + 3a + 0b
This system will have infinitely many solutions (a,b), with k = 2 and m = 0.