Пошаговое объяснение:
1) 0.1 × (x-8) = 0.9
(1) 1/10 × (x-8) = 9/10
(2) 1/10x - 8 = 9/10
(3) x = 17/10 ÷ 1/10
(4) x = 17
2) 7/9x + 11/12 = 13/18
(1) 7x/9 + 11/12 = 13/18
(2) 7x + 33/4 = 13/2
(3) x = - 1/4
3) 1 2/9 y + 3 = -3 2/7 (1 2/9 - это 1 целая и 2/9 или 11/9)
(1) 1 2/9 y = -3 + (-3 2/7)
(2) 1 2/9 y = -6 2/7
(3) y = -1 2/9 + (-6 2/7)
(4) y = -11/9 + -44/7
(5) y = -11×7 / 9×7 + -44×9 / 7 × 9
(6) y = -77/63 + -396/63
(7) y = -473/63
(8) y ≈ - 7.51
4) -9/14x + 2 = 4 4/7
(1) -9/14x = 2 - 4 4/7
(2) -9/14x = -2 4/7
(3) x = 9/14 - 2 4/7
(4) x = 9/14 + 36/14
(5) x = -27/+14
(6) x ≈ -1.93
5) 5/24x = -1 7/48
(1) x = -5/24 + (-1 7/48)
(2) x = -5/24 + -55/+48
(3) x = -5 × 2 / 24 × 2 + -55/48
(4) x = -10/48 + -55/48
(5) x = -65/48
(6) x ≈ - 1.35
6) 11/15y + 9/10 = 8/15
(1) 11/15y = -9/10 + 8/15
(2) 11/15y = -9×3 / 10×3 + 8×2 / 15 × 2
(3) 11/15y = -27/30 + 16/30
(4) 11/15y = -11/30
(5) y = -11/15 + (-11/30)
(6) y = -11×2 / 15/2 + -11/30
(7) y = -22/30 + (-11/30)
(8) y = -33/30
(9) y = -11/10
(10) y = -1.1
7) -0.01x = 1
(1) x = 0.01 + 1
(2) x = 1.01
8) 2 1/3 - (y - 5/12) = 1.75
(1) y = 2 1/3 - 5/12 + (-1.75)
(2) y = 7×4 / 3×4 + 5/12 + (-1.75)
(3) y = 28/12 + 5/12 + (-1.75)
(4) y = 23/12 + (-1.75)
(5) y ≈ 0.17
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1 2/7x-1/3=2/21
1 2/7x=2/21+1/3
1 2/7x=2/21+7/21
X=9/21*7/9
X=1/3