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joseconaccento joseconaccento
  • 18-11-2014
  • Mathematics
Answered

ax over b plus cx over d equals e

solve for x

Verified Answer :

Anonymous Anonymous
  • 24-11-2014

\(\frac{ax}{b}+\frac{x}{d}=e\ \ \ \ \ \ |multiply\ both\ sides\ by\ "bd"\\\\bd\times\frac{ax}{b}+bd\times\frac{cx}{d}=bde\\\\adx+bcx=bde\\\\(ad+bc)x=bde\ \ \ \ \ |divide\ both\ sides\ by\ (ad+bc)\\\\\boxed{x=\frac{bde}{ad+bc}}\)

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