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?
Adding 3a+mb to both sides of the second equation, we have
3a+2b=2
9a+(m+2)b=k
We multiply the first equation by 3, in order to make the coefficient of a equal to 9:
9a+6b=6
9a+(m+b)b=k
This system will have infinitely many solutions when both equations are the same. This occurs when k=6 and m+2=6....
im sure you can figure out what m is :)))