Question

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.

Answer 1

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.

Answer 2

Answer:

Step-by-step explanation:

The given equation is:

$\frac{3}{x}+\frac{1}{3}=\frac{5}{6}$

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 $\frac{5}{6}$.

Now, solving the given equation, we get

$\frac{3}{x}=\frac{5}{6}-\frac{1}{3}$

$\frac{3}{x}=\frac{5-2}{6}$

$\frac{3}{x}=\frac{3}{6}$

$\frac{1}{x}=\frac{1}{6}$

$x=6$

Therefore, the given equation can be further solved.