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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?

 Jul 25, 2023
 #1
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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.

 Jul 25, 2023

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