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For a certain value of k, the system

3a + 4b = 7

6a + 4b = k + 3a

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

 Aug 5, 2022
 #1
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The answer is k = 5.

 Aug 5, 2022
 #2
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Subtracting 3a from the second equation gives us \(3a + 4b = k\) and \(3a + 3b = 7\)

 

For the system to have an infinite amount of solutions, they must be the same line. 

 

Can you take it from here?

 Aug 6, 2022

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