Пошаговое объяснение:
а)
4,6/(х + 4,4) = 8,4/(3х + 5,1)
4,6(3х + 5,1) = 8,4(х + 4,4)
13,8х + 23,46 = 8,4х + 36,96
13,8х - 8,4х = 36,96 - 23,46
5,4х = 13,5
х = 13,5 : 5,4
х = 2,5
б)
2 2/3/(х + 1/3) = 1 1/2/(х - 1 1/8)
2 2/3(х - 1 1/8) = 1 1/2(х + 1/3)
8/3(х - 9/8) = 3/2(х + 1/3)
8/3х - 72/24 = 3/2х + 3/6
8/3х - 3 = 3/2х + 1/2
8/3х - 3/2х = 1/2 + 3
16/6х - 9/6х = 3 1/2
7/6х = 7/2
х = 7/2 : 7/6
х = 7/2 * 6/7
х = 1/1 * 3/1
х = 3/1
х = 3
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Verified answer
Пошаговое объяснение:
а)
4,6/(х + 4,4) = 8,4/(3х + 5,1)
4,6(3х + 5,1) = 8,4(х + 4,4)
13,8х + 23,46 = 8,4х + 36,96
13,8х - 8,4х = 36,96 - 23,46
5,4х = 13,5
х = 13,5 : 5,4
х = 2,5
б)
2 2/3/(х + 1/3) = 1 1/2/(х - 1 1/8)
2 2/3(х - 1 1/8) = 1 1/2(х + 1/3)
8/3(х - 9/8) = 3/2(х + 1/3)
8/3х - 72/24 = 3/2х + 3/6
8/3х - 3 = 3/2х + 1/2
8/3х - 3/2х = 1/2 + 3
16/6х - 9/6х = 3 1/2
7/6х = 7/2
х = 7/2 : 7/6
х = 7/2 * 6/7
х = 1/1 * 3/1
х = 3/1
х = 3