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# Help algebra

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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+0 Answers

#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