222. Решите уравнение: а) 8 8/11 - z = 3 9/11; б) y - 4 3/5 = 2 4/5; в) 8 16/27 - (x - 2 17/27) = 8.

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Accepted Answer

а) $$8 \frac{8}{11} - z = 3 \frac{9}{11}$$ $$z = 8 \frac{8}{11} - 3 \frac{9}{11}$$ $$z = 7 \frac{19}{11} - 3 \frac{9}{11} = 4 \frac{10}{11}$$ Ответ: z = 4 10/11
б) $$y - 4 \frac{3}{5} = 2 \frac{4}{5}$$ $$y = 2 \frac{4}{5} + 4 \frac{3}{5}$$ $$y = 6 \frac{7}{5} = 7 \frac{2}{5}$$ Ответ: y = 7 2/5
в) $$8 \frac{16}{27} - (x - 2 \frac{17}{27}) = 8$$ $$x - 2 \frac{17}{27} = 8 \frac{16}{27} - 8$$ $$x - 2 \frac{17}{27} = \frac{16}{27}$$ $$x = \frac{16}{27} + 2 \frac{17}{27}$$ $$x = 2 \frac{33}{27} = 3 \frac{6}{27} = 3 \frac{2}{9}$$ Ответ: x = 3 2/9