Вопрос:

Решите уравнения: а) (3x + 5) + (8x + 1) = 17; б) 19 - 5(3x - 1) = 9; в) (3 - 5,8x) - (2,2 - 5,8x) = 0; г) 21 = -20 - 8(2x + 5); а) 30 + 5(3x - 1) = 35x - 25; б) 10x - 5 = 6(8x + 3) - 5x; в) -10(3 - 4x) + 51 = 0; г) 6x - 5(3x + 2) = 5; а) 6(8x + 5) = 0; б) 6(8x + 5) = -6; в) -8(2x - 0,5) = 0; г) -8(2x - 0,5) = -8.

Ответ:

Решение уравнений: а) (3x + 5) + (8x + 1) = 17 3x + 5 + 8x + 1 = 17 11x + 6 = 17 11x = 11 x = 1 б) 19 - 5(3x - 1) = 9 19 - 15x + 5 = 9 24 - 15x = 9 -15x = -15 x = 1 в) (3 - 5.8x) - (2.2 - 5.8x) = 0 3 - 5.8x - 2.2 + 5.8x = 0 0.8 = 0 Нет решений г) 21 = -20 - 8(2x + 5) 21 = -20 - 16x - 40 21 = -60 - 16x 16x = -81 x = -81/16 = -5.0625 а) 30 + 5(3x - 1) = 35x - 25 30 + 15x - 5 = 35x - 25 25 + 15x = 35x - 25 50 = 20x x = 50/20 = 2.5 б) 10x - 5 = 6(8x + 3) - 5x 10x - 5 = 48x + 18 - 5x 10x - 5 = 43x + 18 -23 = 33x x = -23/33 в) -10(3 - 4x) + 51 = 0 -30 + 40x + 51 = 0 40x + 21 = 0 40x = -21 x = -21/40 = -0.525 г) 6x - 5(3x + 2) = 5 6x - 15x - 10 = 5 -9x = 15 x = -15/9 = -5/3 = -1.666... а) 6(8x + 5) = 0 48x + 30 = 0 48x = -30 x = -30/48 = -5/8 = -0.625 б) 6(8x + 5) = -6 48x + 30 = -6 48x = -36 x = -36/48 = -3/4 = -0.75 в) -8(2x - 0.5) = 0 -16x + 4 = 0 -16x = -4 x = -4/-16 = 1/4 = 0.25 г) -8(2x - 0.5) = -8 -16x + 4 = -8 -16x = -12 x = -12/-16 = 3/4 = 0.75
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