Verified answer

а)

[tex] \frac{5}{12} z + \frac{4}{9} z = \frac{2}{3} \\ \frac{15}{36} z+ \frac{16}{36} z= \frac{2}{3} \\ \frac{31}{36} z= \frac{2}{3} \\ z = \frac{2}{3} \div \frac{31}{36} \\ z = \frac{2 \times 36}{3 \times 31} \\ z = \frac{24}{31} [/tex]

б)

[tex] \frac{1}{2} x - \frac{3}{22} x = \frac{6}{11} x \\ \frac{1}{2} x - \frac{3}{22} x - \frac{6}{11} x = 0 \\ x = 0[/tex]

в)

[tex] \frac{5y - 2}{6} + \frac{3y + 1}{3} = 4 \\ \frac{5y - 2 + 2(3y + 1)}{6} = 4 \\ 5y - 2 + 6y + 2 = 24 \\ 11y = 24 \\ y = \frac{24}{11} \\ y = 2 \frac{2}{11} [/tex]

г)

[tex] \frac{5}{6} k - 2.6 = \frac{3}{15} k - 1.8 \\ \frac{5}{6} k - \frac{3}{ 15 } k = - 1.8 + 2.6 \\ \frac{25}{30} k - \frac{6}{30} k = 0.8 \\ \frac{19}{30} k = \frac{4}{5} \\ k = \frac{4}{5} \div \frac{19}{30} \\ k = \frac{4 \times 30}{5 \times 19} \\ k = \frac{24}{19} \\ k = 1 \frac{5}{19} [/tex]

Пояснение: думаю помогла :)