Question 301383
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*[tex \LARGE \ \ \ \ \ \ \ \ \ \ x\ -\ y\ =\ 3]


So *[tex \Large x] represents the larger number and is equal to  


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ x\ =\ y\ +\ 3]


We are given that:


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ 2x\ +\ y\ =\ 48]


But, by substitution:


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ 2(y\,+\,3)\ +\ y\ =\ 48]


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ 3y\ =\ 42]


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ y\ =\ 14]


So


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ x\ =\ 14\ +\ 3\ =\ 17]


Check:


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ 2(17)\ +\ 14\ =\ 34\ +\ 14\ =\ 48]


Answer checks.


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