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For a certain value of k, the system

 

3a + 4b = 7,

6a + 4b = k - 3a - 8b

 

has infinitely many solutions (a,b). What is k?

 
 Jun 3, 2021
 #1
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Simplify the  second  equation  as

 

9a  + 12b   =  k

 

Notice  that  the left side   is  just  3 ( 3a + 4b)

So.....to provide  infinite solutions, the equations must be the  same which means that 3* 7   =  k   =  21

 

 

cool cool cool

 
 Jun 3, 2021

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