+296 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?
+8 In order to have an infinite number of solutions, we want two equivalent equations
Subtracting 3a from both sides gives us 3a+2b=k+mb.
Because we want both equations to be equal to each other (meaning the left side matches), we can incorporate the equation k+mb=2
We want M to be an integer-- other than zero (except it cannot be other than zero because we want the equations to line up)
We need m=0 so K would have to be 2
M=0
K=2
