Question

Rezolvati ecuatia x+3/5 +x+4/6 = x-1 /3 +7x-4/6 x € |R

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Dau coroana ajutatima va rog!!

Answer 1

Răspuns:

x=2

Explicație pas cu pas:

$\frac{x+3}{5} +\frac{x+4}{6} =\frac{x-1}{3} +\frac{7x-4}{6} \\\frac{6x+18}{30} +\frac{5x+20}{30} =\frac{6x-6}{18} +\frac{21x-12}{6}\\\frac{6x+18+5x+20}{30}= \frac{6x-621x-12}{18}\\\frac{11x+38}{30}= \frac{27x-18}{18}\\18(11x+38)= 30(27x-18)\\198x+684=810x-540\\684+540=810x-198x\\1224=612x\\x=2$

Verificare

$\frac{x+3}{5} +\frac{x+4}{6} =\frac{x-1}{3} +\frac{7x-4}{6} \\\frac{2+3}{5} +\frac{2+4}{6} =\frac{2-1}{3} +\frac{7*2-4}{6} \\\frac{5}{5} +\frac{6}{6} =\frac{1}{3} +\frac{10}{6} \\\frac{5}{5} +\frac{6}{6} =\frac{1}{3} +\frac{5}{3}\\1+1=\frac{6}{3}\\2=2$