Question

Which equations are equivalent to + StartFraction 13 Over 15 EndFraction StartAbsoluteValue 2 minus x EndAbsoluteValue equals StartFraction 4 Over 15 EndFraction.|2 – x| = StartFraction 1 Over 5 EndFraction plus StartFraction 2 Over 3 EndFraction StartAbsoluteValue 2 minus x EndAbsoluteValue equals StartFraction 4 Over 15 EndFraction.

Answer 1

Answer:

None of the above.

Step-by-step explanation:

The given expression is

$\frac{13}{15}|2-x|=\frac{4}{15}$

Choices are

$|2-x|=\frac{1}{5}+\frac{2}{3}$

$|2-x|=\frac{4}{15}$

Now, let's work on the given equation, let's isolate the absolute value

$\frac{13}{15}|2-x|=\frac{4}{15}\\|2-x|=\frac{4 \times 15}{15 \times 13}\\ |2-x|=\frac{4}{13}$

So, assuming your question is complete, then, the right answer is none of the above. Neither choice is correct here, because the given expression results in another equation which is not equivalent to the given choices.