Question

Корень уравнения равен (34 балла за это даю)

Answer 1

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$1) \: \: \: 5x + 6 - \frac{5(3x + 7)}{4} = \frac{7x - 5}{3} \: \: \: | \times 12 \\ 60x + 72 - 15(3x + 7) = 4(7x - 5)\\ 60x + 72 - 45x - 105 - 28x = - 2 0 \\ - 13x = 33- 20 \\ x = 13 \div ( - 13) \\ x = - 1$

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$\frac{4x - 3}{5} + \frac{7 - 2x}{3} = 2 \: \: \: \: \: \: | \times 15 \\ 3(4x - 3) + 5(7 - 2x) = 30 \\ 12x - 9 + 35 - 10x = 30 \\ 2x = 4 \: \: \: \: \: | \div 2 \\ x = 2$

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$\frac{2x + 7}{5} - 4 = \frac{x - 15}{4} + 1 \\ \frac{2x + 7}{5} - \frac{x - 15}{4} = 4 + 1 \: \: \: \: | \times 20 \\ 4(2x + 7) - 5(x - 15) = 100 \\ 8x + 28 - 5x + 75 = 100 \\ 3x = - 3 \: \: \: \: \: | \div 3 \\ x = - 1$

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$( {2}^{ - 1} + {3}^{ - 1} )(5x - 2) - ( {5}^{ - 1} + {2}^{ - 1} )(7x + 4) = - 3 \\ ( \frac{1}{2} + \frac{1}{3} )(5x - 2) - ( \frac{1}{5} + \frac{1}{2} )(7x + 4) = - 3 \\ \frac{3 + 2}{6} \times (5x - 2) - \frac{2 + 5}{10} \times (7x + 4) = - 3 \\ \frac{5(5x - 2)}{6} - \frac{7(7x + 4)}{10} = - 3 \: \: \: \: \: | \times 30 \\ 25(5x - 2) - 21(7x + 4) = - 90 \\ 125x - 50 - 147x - 84 = - 90 \\ - 22x = 44 \: \: \: \: \: | \div ( - 22) \\ x = - 2$