Решите уравнения ! 5,4x - 4,6=2,4x+2,3
1,2(х - 5) = 2,5(х - 7)
|2х - 5| =12

malaya108 malaya108    2   04.03.2021 11:06    0

Ответы
ann111111113 ann111111113  03.04.2021 11:08

1)x = 2.3 \\ 2)x = 8.84615 \\ 3) \frac{17}{2}

Пошаговое объяснение:

1)5.4x - 4.6 = 2.4x + 2.3 \\ \frac{27x}{5} - 4.6 = 2.4x + 2.3 \\ \frac{27x}{5} - 4.6 = \frac{12x}{5} + 2.3 \\ \frac{27x}{5} - 4.6 + 4.6 = \frac{12x}{5} + 2.3 + 4.6 \\ \frac{27x}{5} = \frac{12x}{5} + 6.9 \\ 5 \times \frac{27x}{5} = 5( \frac{12x}{5} + 6.9) \\ 27x = 12x + 34.5 \\ \\ 27x - 12x = 12x + 34.5 - 12x \\ 15x = 34.5 \\ \frac{15x}{15} = \frac{34.5}{15} \\ x = 2.3 \\ 2)1.2(x - 5) = 2.5(x - 7) \\ 1.2x - 6 = 2.5(x - 7) \\ 1.2x - 6 = 2.5x - 17.5 \\ (1.2x - 2.5x) - 6 =2.5x - 2.5x - 17.5 \\ - 1.3x - 6(2.5x - 2.5x) - 17.5 \\ - 1.3x - 6 = 17.5 \\ (6 - 6) - 1.3x = 6 - 17.5 \\ - 1.3x = 6 - 17.5 \\ \frac{ - 1.3x}{1.3} = \frac{ - 11.5}{ - 1.3} \\ x = \frac{ - 11.5}{1.3} \\ x = 8.84615 \\ 3) |2x - 5| = 12 \\ 2x - 5 = 12 \\ 2x = 17 \\ x = 17.2

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