Respuestas
Explicación paso a paso:
1).
(4/3)(y - 1) = (2/3)(y + 4)
4(y - 1) = 2(y + 4)
4y - 4 = 2y + 8
4y - 2y = 8 + 4
2y = 12
y = 6
2).
4x(5x - 3) = 5x(4x + 2)
20x² - 12x = 20x² + 10x
12x + 10x = 0
22x = 0
x = 0
3).
(x - 8)² - (x - 7)² = x + 1
x² - 16x + 64 - (x² - 14x + 49) = x + 1
x² - 16x + 64 - x² + 14x - 49 = x + 1
- 16x + 64 + 14x - 49 = x + 1
16x - 14x + x = 64 - 49 - 1
3x = 14
x = 14/3
x ≈ 4,67
4).
(x + 8)(x - 12) = 3 + (x - 11)²
x² + 8x - 12x - 96 = 3 + x² - 11x - 11x + 121
8x - 12x + 11x + 11x = 96 + 3 + 121
18x = 220
x = 110/9
x ≈ 12,22
5).
7/(x² - x - 72) + 3/(x + 8) = 5/(x - 9)
7/(x - 9)(x + 8) + 3/(x + 8) = 5/(x - 9)
7 + 3(x - 9) = 5(x + 8)
7 + 3x -27 = 5x + 40
5x - 3x = 7 - 27 - 40
2x = -60
x = -30
6).
8/(9x² - 4) = 5/(3x - 2) + 4/(3x + 2)
8/(3x - 2)(3x + 2) = 5/(3x - 2) + 4/(3x + 2)
8 = 5(3x + 2) + 4(3x - 2)
8 = 15x + 10 + 12x - 8
15x + 12x = 8 + 8 - 10
27x = 6
x = 2/9
x ≈ 0,22