463. Решите уравнение: 1) 5 11/14 · x − 8/15 = 5/21; 2) 7 3/10 + 25/28 · x = 8 13/35; 3) 3 1/3 − 1 1/20 · x = 1 14/15; 4) 3/8 · x + 7/12 · x − 5/6 · x = 9/32; 5) 2 1/3 : x − 1 1/6 = 1 5/9; 6) 2 1/3 · (x − 1 1/6) = 1 5/9; 7) 27 : (31 3/7 − 2 11/14 · x) = 1/8; 8) 48 : (3 4/5 · x − 25) = 1 1/2.

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Accepted Answer

(81/14)x − 8/15 = 5/21; (81/14)x = 5/21 + 8/15 = 27/35; x = (27/35)(14/81) = 2/15.
(73/10) + (25/28)x = 293/35; (25/28)x = 293/35 − 73/10 = 1/14; x = (1/14)(28/25) = 2/25.
10/3 − (21/20)x = 29/15; (21/20)x = 7/5; x = (7/5)(20/21) = 4/3.
(3/8 + 7/12 − 5/6)x = 9/32; (1/8)x = 9/32; x = 9/4.
(7/3) : x = 1 5/9 + 1 1/6 = 49/18; поэтому 7/(3x) = 49/18, откуда x = 6/7.
(7/3)(x − 7/6) = 14/9; x − 7/6 = 2/3; x = 11/6.
27 : (220/7 − (39/14)x) = 1/8; знаменатель равен 216. Тогда 220/7 − (39/14)x = 216; x = −3032/39.
48 : ((19/5)x − 25) = 3/2; знаменатель равен 32. Тогда (19/5)x = 57; x = 285/19 = 15.

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