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amanda tells you that because a variable is in the denominator, the equation three over x plus one over three equals five over six becomes unsolvable. amanda explains, "there is a value for x that makes the denominator zero, and you can't divide by zero." demonstrate to amanda how the equation is still solvable and explain your reasoning.

Respuesta :

Jisallyouget
because the final answer is 5/6. That means x must be 6 since the second denominator is 3. Then you will have to time 1/3 by 2, you'll get 2/6. 3/6+2/6=5/6.
The problem is solvable.
boffeemadrid

Answer:

Step-by-step explanation:

The given equation is:

[tex]\frac{3}{x}+\frac{1}{3}=\frac{5}{6}[/tex]

Just because we have a variable x in the denominator, it cannot be concluded that the equation can't be further solved as we do have the answer that is [tex]\frac{5}{6}[/tex].

Now, solving the given equation, we get

[tex]\frac{3}{x}=\frac{5}{6}-\frac{1}{3}[/tex]

[tex]\frac{3}{x}=\frac{5-2}{6}[/tex]

[tex]\frac{3}{x}=\frac{3}{6}[/tex]

[tex]\frac{1}{x}=\frac{1}{6}[/tex]

[tex]x=6[/tex]

Therefore, the given equation can be further solved.

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