Question 188459
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*[tex \LARGE \ \ \ \ \ \ \ \ \ \ 2\frac{1}{5}x - \frac{3}{4} = -4\frac{1}{2}]


Change the mixed fractions to improper fractions:


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ \frac{11}{5}x - \frac{3}{4} = -\frac{9}{2}]


Lowest common denominator is 20, so multiply both sides of the equation by 20:


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ 44x - 15 = -90]


Add 15 to both sides:


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ 44x  = -75]


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ x  = -\frac{75}{44} ]


Check the answer:



*[tex \LARGE \ \ \ \ \ \ \ \ \ \ \frac{11}{5}\left( \frac{75}{44}\right) - \frac{3}{4} =^? -\frac{9}{2}]



John
*[tex \LARGE e^{i\pi} + 1 = 0]
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