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Mathematics 7 Online
OpenStudy (anonymous):

PLEASE HELP!!!! PLEASE HELP!!

OpenStudy (helder_edwin):

do u have to solve this equation?

OpenStudy (helder_edwin):

\[\large \frac{x}{x-2}+\frac{3}{x-4}=1 \] \[\large \frac{x(x-4)+3(x-2)}{(x-2)(x-4)}=1 \] \[\large \frac{x^2-4x+3x-6}{(x-2)(x-4)}=1 \] \[\large x^2-x-6=(x-2)(x-4)=x^2-6x+8 \] (if and only if \(x\neq2\) and \(x\neq4\)) \[\large -x-6=-6x+8 \] \[\large 5x=14 \] \[\large x=14/5 \]

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