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?

Guest Jul 3, 2023

#1**0 **

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 :)))

sheeshers Jul 4, 2023