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
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