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avatar+952 

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?

 Apr 5, 2024
 #1
avatar+128794 
+1

Simplify as

 

3a + 2b  = 2

3a + (2 - m)b = k

 

For this to have infinite solutions, the equations must be the same

 

This implies that  m   =  0     and   k    =  2

 

cool cool cool

 Apr 5, 2024

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