Question

1.Rezolvati,in multimea numerelor reale,ecuatia: $\frac{x-3}{3} =5- \frac{x}{2}$

Answer 1

$\frac{x-3}{3}$+$\frac{x}{2}$=5⇔$\frac{x-3}{3}$+$\frac{x}{2}$=5⇔$\frac{2x-6+3x}{6}$=5⇔$\frac{2x+3x-6}{6} =5$⇔$\frac{5x-6}{6}$=5⇔$\frac{5x-6=5}{6}$⇔$\frac{5x=5+6}{6}$⇔$\frac{5x=11}{6}$⇔$\frac{x= \frac{11}{5} }{6}$⇔$x= \frac{2.2}{6}$⇔x=1
S=1