Вопрос:

501. Решите уравнение. 1) -5x = 25; x=26:5 x-5 2) 7x = -6; X= 3) -\(\frac{3}{11}\)x =-9; 4) -4,5: x = -0,9; 5) 1\(\frac{8}{27}\):x=-1\(\frac{5}{9}\) 6) -2\(\frac{5}{8}\):x=1\(\frac{19}{20}\)

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Ответ:

Привет! Решим уравнения:

  1. \(-5x = 25\)
    \(x = 25 : (-5)\)
    \(x = -5\)
  2. \(7x = -6\)
    \(x = -\frac{6}{7}\)
  3. \(-\frac{3}{11}x = -9\)
    \(x = -9 : (-\frac{3}{11})\)
    \(x = -9 \cdot (-\frac{11}{3})\)
    \(x = \frac{9 \cdot 11}{3}\)
    \(x = \frac{99}{3}\)
    \(x = 33\)
  4. \(-4.5 : x = -0.9\)
    \(x = -4.5 : (-0.9)\)
    \(x = 5\)
  5. \(1\frac{8}{27} : x = -1\frac{5}{9}\)
    \(\frac{35}{27} : x = -\frac{14}{9}\)
    \(x = \frac{35}{27} : (-\frac{14}{9})\)
    \(x = \frac{35}{27} \cdot (-\frac{9}{14})\)
    \(x = -\frac{35 \cdot 9}{27 \cdot 14}\)
    \(x = -\frac{5 \cdot 1}{3 \cdot 2} = -\frac{5}{6}\)
  6. \(-2\frac{5}{8} : x = 1\frac{19}{20}\)
    \(-\frac{21}{8} : x = \frac{39}{20}\)
    \(x = -\frac{21}{8} : \frac{39}{20}\)
    \(x = -\frac{21}{8} \cdot \frac{20}{39}\)
    \(x = -\frac{21 \cdot 20}{8 \cdot 39}\)
    \(x = -\frac{7 \cdot 5}{2 \cdot 13} = -\frac{35}{26}\)
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