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Akimi4 [234]
2 years ago
15

If it is known that a+b/a-b=c, find the following: 2a-2b/5a+5b

Mathematics
1 answer:
Olin [163]2 years ago
4 0

Answer:

\frac{2a-2b}{5a+5b} =\frac{2}{5c}

Step-by-step explanation:

\frac{a+b}{a-b} =c

\Longleftrightarrow \frac{a-b}{a+b} =\frac{1}{c}

\Longleftrightarrow \frac{2}{5} \times \frac{a-b}{a+b} =\frac{2}{5} \times \frac{1}{c}

\Longleftrightarrow  \frac{2\times(a-b)}{5\times(a+b)} = \frac{2\times1}{5\times c}

\Longrightarrow \frac{2a-2b}{5a+5b} =\frac{2}{5c}

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In your situation you said that

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So putting those together:

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Remember that the difference quotient is basically finding the slope of something.  Since you were given that the slope is 0, the difference quotient should work out to match that.

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