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September 8th, 2014, 06:13 PM   #1
App
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Rational expression

Hello again,
I need help figuring this 7/x-2=3/x-2+4.The answer is 3.What am I doing wrong?Sorry I can't post all my working.I'm using an iPad.I don't know how to upload multiple picks here.
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September 8th, 2014, 06:36 PM   #2
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Quote:
Originally Posted by App View Post
Hello again,
I need help figuring this 7/x-2=3/x-2+4.The answer is 3.What am I doing wrong?Sorry I can't post all my working.I'm using an iPad.I don't know how to upload multiple picks here.
I can't read enough to see where you are going when you started. Here's some general hints:
$\displaystyle \frac{7}{x - 2} = \frac{3}{x - 2} + 4$

Multiply both sides by x - 2. (We have to be clear here; we cannot let x = 2!)

$\displaystyle 7 = 3 + 4(x - 2)$

Can you finish from here?

-Dan
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September 8th, 2014, 07:40 PM   #3
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Quote:
Originally Posted by App View Post
7/x-2=3/x-2+4
Brackets required: 7/(x-2) = 3/(x-2) + 4
Make SURE you understand why.

A way to start:
7/(x-2) - 3/(x-2) = 4
4/(x-2) = 4
continue...
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