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What number must be placed in the box in the equation below to produce an equation that has more than one solution:

 

$1/2*y + 1/4 = 3 + \boxed{\phantom{400} } y$

 Jun 6, 2021
 #1
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Well, lets see, for an equation to have more than one solution, even if that box has a "y" in it, then it still produces more than one solution (it's a quadratic equation). I don't know if you mean if it has infinite solutions, in that case, it would be: 


\(\frac{y}{2}+\frac{1}{4}=3+xy\)

\(2y+1=12+4xy\)

\(2y-11=4xy\)

\(x=\frac{2y-11}{4y\:}\)  

unless, of course y=0, since anything divided by 0 is undefined         

 

 

 

 

 

 

 

JP 

 Jun 6, 2021
edited by JKP1234567890  Jun 6, 2021

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