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Rezolvati ecuatia din poza

Rezolvati Ecuatia Din Poza class=

Răspuns :

[tex][(\frac{6}{5}x-\frac{7}{3})*\frac{9}{10}-\frac{1}{5}]*\frac{5}{13}=\frac{1}{2}[/tex]

[tex](\frac{6}{5}x-\frac{7}{3})*\frac{9}{10}-\frac{1}{5}=\frac{1}{2}:\frac{5}{13}[/tex]

[tex](\frac{6}{5}x-\frac{7}{3})*\frac{9}{10}-\frac{1}{5}=\frac{1}{2}*\frac{13}{5}[/tex]

[tex](\frac{6}{5}x-\frac{7}{3})*\frac{9}{10}-\frac{1}{5}=\frac{13}{10}[/tex]

[tex](\frac{6}{5}x-\frac{7}{3})*\frac{9}{10}=\frac{13}{10}+\frac{1}{5}[/tex]

[tex](\frac{6}{5}x-\frac{7}{3})*\frac{9}{10}=\frac{13}{10}+\frac{2}{10}[/tex]

[tex](\frac{6}{5}x-\frac{7}{3})*\frac{9}{10}=\frac{15}{10}[/tex]

[tex]\frac{6}{5}x-\frac{7}{3}=\frac{15}{10}:\frac{9}{10}[/tex]

[tex]\frac{6}{5}x-\frac{7}{3}=\frac{15}{10}*\frac{10}{9}[/tex]

[tex]\frac{6}{5}x-\frac{7}{3}=\frac{5}{3}[/tex]

[tex]\frac{6}{5}x=\frac{5}{3}+\frac{7}{3}[/tex]

[tex]\frac{6}{5}x=\frac{12}{3}[/tex]

[tex]\frac{6}{5}x=4[/tex]

[tex]x=4:\frac{6}{5}[/tex]

[tex]x=4*\frac{5}{6}[/tex]

[tex]x=2*\frac{5}{3}[/tex]

[tex]x=\frac{10}{3}[/tex]

[tex]\boxed{x=3,(3)}[/tex]