Question

1.x*15/29=12/29 2.x:4/9=1/9 3.x:7/9=2/9 4.x-2/3=1/3 5.x*5/19=4/19 6.2x+3/4=7/8 7.2x-3/4=7/8 8.4x*2/9=7/18 9.x-4/9=1/9 10.x-3/17=4/17 11.x*12/13=6/13 12.x*11/17=6/17 13.x:5/6=1/6 14.x:4/12=1/3 15.x-2/7=5/7 16.x*4/21=20/21 17.3x+1/3=2/3 18.3x-1/3=2/3 19.7x*2/7=5/7 20.x+1/7=3/7 21.x-4/11=7/11 22.x*11/12=1/12 23.x*13/15=2/15 24.x*7/9=2/9 25.x:3/7=4/7 26.x-3/13=10/13 27.x*5/12=15/12 28.4x+1/2=3/4 29.4x-1/2=3/4 30.9x*1/3=2/3

Answer 1

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Answer 2

Давайте по очереди решим каждое уравнение:

1. \(x \cdot \frac{15}{29} = \frac{12}{29}\) Умножим обе стороны на \(\frac{29}{15}\): \(x = \frac{12}{15}\) Упростим дробь: \(x = \frac{4}{5}\)

2. \(x : \frac{4}{9} = \frac{1}{9}\) Умножим обе стороны на \(\frac{4}{9}\): \(x = \frac{1}{9} \cdot \frac{9}{4}\) Упростим дробь: \(x = \frac{1}{4}\)

3. \(x : \frac{7}{9} = \frac{2}{9}\) Умножим обе стороны на \(\frac{7}{9}\): \(x = \frac{2}{9} \cdot \frac{9}{7}\) Упростим дробь: \(x = \frac{2}{7}\)

4. \(x - \frac{2}{3} = \frac{1}{3}\) Прибавим \(\frac{2}{3}\) к обеим сторонам: \(x = \frac{1}{3} + \frac{2}{3}\) Упростим дробь: \(x = 1\)

5. \(x \cdot \frac{5}{19} = \frac{4}{19}\) Умножим обе стороны на \(\frac{19}{5}\): \(x = \frac{4}{5}\)

6. \(2x + \frac{3}{4} = \frac{7}{8}\) Выразим \(x\): \(2x = \frac{7}{8} - \frac{3}{4}\) \(2x = \frac{7}{8} - \frac{6}{8}\) \(2x = \frac{1}{8}\) \(x = \frac{1}{16}\)

7. \(2x - \frac{3}{4} = \frac{7}{8}\) Выразим \(x\): \(2x = \frac{7}{8} + \frac{3}{4}\) \(2x = \frac{7}{8} + \frac{6}{8}\) \(2x = \frac{13}{8}\) \(x = \frac{13}{16}\)

8. \(4x \cdot \frac{2}{9} = \frac{7}{18}\) Умножим обе стороны на \(\frac{9}{2}\): \(4x = \frac{7}{18} \cdot \frac{9}{2}\) Упростим дроби: \(4x = \frac{7}{4}\) \(x = \frac{7}{4} \cdot \frac{1}{4}\) \(x = \frac{7}{16}\)

9. \(x - \frac{4}{9} = \frac{1}{9}\) Прибавим \(\frac{4}{9}\) к обеим сторонам: \(x = \frac{1}{9} + \frac{4}{9}\) Упростим дробь: \(x = \frac{5}{9}\)

10. \(x - \frac{3}{17} = \frac{4}{17}\) Прибавим \(\frac{3}{17}\) к обеим сторонам: \(x = \frac{4}{17} + \frac{3}{17}\) Упростим дробь: \(x = \frac{7}{17}\)

11. \(x \cdot \frac{12}{13} = \frac{6}{13}\) Умножим обе стороны на \(\frac{13}{12}\): \(x = \frac{6}{13} \cdot \frac{13}{12}\) Упростим дробь: \(x = \frac{6}{12}\) \(x = \frac{1}{2}\)

12. \(x \cdot \frac{11}{17} = \frac{6}{17}\) Умножим обе стороны на \(\frac{17}{11}\): \(x = \frac{6}{17} \cdot \frac{17}{11}\) Упростим дробь: \(x = \frac{6}{11}\)

13. \(x : \frac{5}{6} = \frac{1}{6}\) Умножим обе стороны на \(\frac{5}{6}\): \(x = \frac{1}{6} \cdot \frac{6}{5}\) Упростим дробь: \(x = \frac{1}{5}\)

14. \(x : \frac{4}{12} = \frac{1}{3}\) Умножим обе стороны на \(\frac{4}{12}\): \(x = \frac{1}{3} \cdot \frac{12}{4}\) Упростим дробь: \(x = \frac{1}{1}\) \(x = 1\)

15. \(x - \frac{2}{7} = \frac{5}{7}\) Прибавим \(\frac{2}{7}\) к обеим сторонам: \(x = \frac{5}{7} + \frac{2}{7}\) Упростим дробь: \(x = \frac{7}{7}\) \(x = 1\)

16. \(x \cdot \frac{4}{21} = \frac{20}{21}\) Умножим обе стороны на \(\frac{21}{4}\): \(x = \frac{20}{21} \cdot \frac{21}{4}\) Упростим дробь: \(x = \frac{20}{4}\) \(x = 5\)

17. \(3x + \frac{1}{3} = \frac{2}{3}\) Выразим \(x\): \(3x = \frac{2}{3} - \frac{1}{3}\) \(3x = \frac{1}{3}\) \(x =