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?
3a + 2b = 2 (1)
a + 2b + 8a + mb = k → 9a + (2 + m)b = k (2)
The system has infinite solutios when the equations are exactly the same
Multiply (1) by 3
9a + 6b = 6 (3)
Equating terms in (2) and (3)
(2 + m) = 6 k = 6
m = 4
+1533 
