gracebmatthews gracebmatthews

21-01-2017
Mathematics

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Solve 3 over x minus 3 equals the quantity of x over x minus 3, minus three-halves. for x and determine if the solution is extraneous or not.

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PsychrolutesMarcidus PsychrolutesMarcidus

21-01-2017

[tex] \frac{3}{x} -3 = \frac{x}{x} - \frac{3}{2} [/tex]
[tex]3 -3x = x - \frac{3x}{2}[/tex]
[tex] -6x -2x -x = 6[/tex]
[tex]-9x=6 [/tex]
[tex]9x=6[/tex]
[tex]x= \frac{6}{9}= \frac{2}{3} [/tex]

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