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МатематикаВопрос:
76. Решите уравнение: x- 5 8 = 1 8 x - 6 21 = 1 3 x- 4 9 = 1 9 x + 1 7 = 3 7 x 13 27 = 7 27 x - 3 17 = 4 17 x 12 13 = 6 13 x - 4 11 = 7 11 x 15 29 = 12 29 x 11 17 = 6 17 x 12 = 11 12 x 13 15 = 2 15 x: 4 9 = 1 9 x: 6 = 5 6 x: 9 = 7 9
Ответ:
Привет! Давай решим эти уравнения вместе. Будем двигаться шаг за шагом, и ты увидишь, как это просто!
1) x - \(\frac{5}{8}\) = \(\frac{1}{8}\)
Чтобы найти x, нужно к \(\frac{1}{8}\) прибавить \(\frac{5}{8}\):
x = \(\frac{1}{8}\) + \(\frac{5}{8}\)
x = \(\frac{6}{8}\)
x = \(\frac{3}{4}\)
2) x - \(\frac{6}{21}\) = \(\frac{1}{3}\)
\(\frac{1}{3}\) = \(\frac{7}{21}\), тогда:
x = \(\frac{6}{21}\) + \(\frac{7}{21}\)
x = \(\frac{13}{21}\)
3) x - \(\frac{4}{9}\) = \(\frac{1}{9}\)
x = \(\frac{1}{9}\) + \(\frac{4}{9}\)
x = \(\frac{5}{9}\)
4) x + \(\frac{1}{7}\) = \(\frac{3}{7}\)
x = \(\frac{3}{7}\) - \(\frac{1}{7}\)
x = \(\frac{2}{7}\)
5) x \(\cdot\) \(\frac{13}{27}\) = \(\frac{7}{27}\)
x = \(\frac{7}{27}\) : \(\frac{13}{27}\)
x = \(\frac{7}{27}\) \(\cdot\) \(\frac{27}{13}\)
x = \(\frac{7}{13}\)
6) x - \(\frac{3}{17}\) = \(\frac{4}{17}\)
x = \(\frac{4}{17}\) + \(\frac{3}{17}\)
x = \(\frac{7}{17}\)
7) x \(\cdot\) \(\frac{12}{13}\) = \(\frac{6}{13}\)
x = \(\frac{6}{13}\) : \(\frac{12}{13}\)
x = \(\frac{6}{13}\) \(\cdot\) \(\frac{13}{12}\)
x = \(\frac{1}{2}\)
8) x - \(\frac{4}{11}\) = \(\frac{7}{11}\)
x = \(\frac{7}{11}\) + \(\frac{4}{11}\)
x = \(\frac{11}{11}\)
x = 1
9) x \(\cdot\) \(\frac{15}{29}\) = \(\frac{12}{29}\)
x = \(\frac{12}{29}\) : \(\frac{15}{29}\)
x = \(\frac{12}{29}\) \(\cdot\) \(\frac{29}{15}\)
x = \(\frac{4}{5}\)
10) x \(\cdot\) \(\frac{11}{17}\) = \(\frac{6}{17}\)
x = \(\frac{6}{17}\) : \(\frac{11}{17}\)
x = \(\frac{6}{17}\) \(\cdot\) \(\frac{17}{11}\)
x = \(\frac{6}{11}\)
11) x \(\cdot\) \(\frac{11}{12}\) = \(\frac{1}{12}\)
x = \(\frac{1}{12}\) : \(\frac{11}{12}\)
x = \(\frac{1}{12}\) \(\cdot\) \(\frac{12}{11}\)
x = \(\frac{1}{11}\)
12) x \(\cdot\) \(\frac{13}{15}\) = \(\frac{2}{15}\)
x = \(\frac{2}{15}\) : \(\frac{13}{15}\)
x = \(\frac{2}{15}\) \(\cdot\) \(\frac{15}{13}\)
x = \(\frac{2}{13}\)
13) x : \(\frac{4}{9}\) = \(\frac{1}{9}\)
x = \(\frac{1}{9}\) \(\cdot\) \(\frac{4}{9}\)
x = \(\frac{4}{81}\)
14) x : \(\frac{6}{6}\) = \(\frac{5}{6}\)
x = \(\frac{5}{6}\) \(\cdot\) \(\frac{6}{6}\)
x = \(\frac{5}{6}\)
15) x : \(\frac{9}{9}\) = \(\frac{7}{9}\)
x = \(\frac{7}{9}\) \(\cdot\) \(\frac{9}{9}\)
x = \(\frac{7}{9}\)
Ответ: x=\(\frac{3}{4}\), x=\(\frac{13}{21}\), x=\(\frac{5}{9}\), x=\(\frac{2}{7}\), x=\(\frac{7}{13}\), x=\(\frac{7}{17}\), x=\(\frac{1}{2}\), x=1, x=\(\frac{4}{5}\), x=\(\frac{6}{11}\), x=\(\frac{1}{11}\), x=\(\frac{2}{13}\), x=\(\frac{4}{81}\), x=\(\frac{5}{6}\), x=\(\frac{7}{9}\)
Молодец! Ты отлично справился с этими уравнениями. Продолжай в том же духе, и у тебя все получится!
