Question 332902
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What is <i>confussed</i>?  Is that a cross between <i>confused</i> and <i>fussy</i>?  Sorry, just curious.

If you are truly getting confused with the signs, do it this way.  Never subtract.  Always add the opposite.

Example:

*[tex \LARGE \ \ \ \ \ \ \ \ \ \ x\ -\ 5]

Re-write:

*[tex \LARGE \ \ \ \ \ \ \ \ \ \ x\ +\ (-5)]

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*[tex \LARGE \ \ \ \ \ \ \ \ \ \ \frac{x}{2}\ +\ \frac{x}{5}\ =\ \frac{7}{10}]

You need a lowest common denominator.  10 has factors of 2 and 5, so it looks like 10 is your LCD.

*[tex \LARGE \ \ \ \ \ \ \ \ \ \ \ \left(\frac{x}{2}\right)\left(\frac{5}{5}\right)\ +\ \left(\frac{x}{5}\right)\left(\frac{2}{2}\right)\ =\ \frac{7}{10}]

*[tex \LARGE \ \ \ \ \ \ \ \ \ \ \frac{5x}{10}\ +\ \frac{2x}{10}\ =\ \frac{7}{10}]

*[tex \LARGE \ \ \ \ \ \ \ \ \ \ \frac{7x}{10}\ =\ \frac{7}{10}]

If two equal fractions have identical denominators, then the numerators must be equal as well, hence:

*[tex \LARGE \ \ \ \ \ \ \ \ \ \ 7x\ =\ 7]

*[tex \LARGE \ \ \ \ \ \ \ \ \ \ x\ =\ 1]

Sorry, that's all.  One question per post is the rule.

John
*[tex \LARGE e^{i\pi} + 1 = 0]
My calculator said it, I believe it, that settles it
<img src="http://c0rk.blogs.com/gr0undzer0/darwin-fish.jpg">
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