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Rezolvati in R ecuatia:
x+3-2/3(x-1)=-1/3(x+5)+2


Răspuns :

[tex]x+3- \frac{2}{3} (x-1)= \frac{-1}{3} (x+5)+2 [/tex]
[tex]x+3+ \frac{-2}{3}x+ \frac{2}{3}= (\frac{-1}{3})(x)+ (\frac{-1}{3})(5)+2 [/tex]
[tex]x+3+ \frac{-2}{3}x+ \frac{2}{3}= \frac{-1}{3}x+ \frac{-5}{3}+2 [/tex]
[tex](x+ \frac{-2}{3}x)+(3+ \frac{2}{3})=( \frac{-1}{3}x)+( \frac{-5}{3}+2) [/tex]
[tex] \frac{1}{3}x+ \frac{11}{3}= \frac{-1}{3}x+ \frac{1}{3} [/tex]
[tex]\frac{1}{3}x+ \frac{11}{3}+ \frac{1}{3}x= \frac{-1}{3}x+ \frac{1}{3}+ \frac{1}{3}x [/tex]
[tex] \frac{2}{3}x+ \frac{11}{3}= \frac{1}{3} [/tex]
[tex]\frac{2}{3}x+ \frac{11}{3}- \frac{11}{3}= \frac{1}{3}- \frac{11}{3} [/tex]
[tex]\frac{2}{3}x= \frac{-10}{3} [/tex]
[tex] (\frac{3}{2})*(\frac{2}{3}x)= (\frac{3}{2})*\frac{-10}{3} [/tex]
x=5