Question

Решите уравнение 11 5/12-х=7 5/24 (х-1/10)+1/15=7/9

Answer 1

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Answer 2

$11 \frac{5}{12} - x = 7 \frac{5}{24} \\ \\ \frac{55}{12} - x = \frac{35}{24} \\ \\ - x = \frac{35}{24} - \frac{55}{12} \\ \\ \frac{35 - 110}{24} = \frac{ - 75}{24} = - \frac{75}{24} = - \frac{25}{8} \\ \\ - x = - \frac{25}{8} \\ \\ x = \frac{25}{8}$
2)
$(x - \frac{1}{10} ) + \frac{1}{15 } = \frac{7}{9} \\ \\ x - \frac{1}{10} + \frac{1}{15} = \frac{7}{9} \\ \\ \frac{ - 3 + 2}{30} = \frac{ - 1}{30} = - \frac{1}{30} \\ \\ x - \frac{1}{30} = \frac{7}{9} \\ \\ x = \frac{7}{9} + \frac{1}{30} \\ \\ \frac{70 + 3}{90} = \frac{73}{90} \\ \\ x = \frac{73}{90}$