а)
12a - 1 = 25 - a
12a + a = 25 + 1
13a = 26
a = 2
б)
11/12 x - 2/3 = -3/4x - 1/2
11/12x + 3/4x = 2/3 - 1/2
11/12x + 9/12x = 4/6 - 3/6
20/12x = 1/6
1 2/3x = 1/6
5/3x = 1/6
x = 0,1
в)
5y + 15 = 10
5y = 10 - 15
5y = -5
y = -1
г)
(x + 7)/3 × 5 = 2x - 3
(5x + 35)/ 3 = 2x - 3
5x + 35 = (2x - 3) × 3
5x + 35 = 6x - 9
5x - 6x = -35 - 9
x = 44
д)
6(4x-7) - 3(5 - 8x) = 0
6(4x -7) = 3(5-8x)
2(4x - 7) = 5 - 8x
8x - 14 = 5 - 8x
8x + 8x = 5 + 14
16x = 19
x = 1,1875
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Answers & Comments
а)
12a - 1 = 25 - a
12a + a = 25 + 1
13a = 26
a = 2
б)
11/12 x - 2/3 = -3/4x - 1/2
11/12x + 3/4x = 2/3 - 1/2
11/12x + 9/12x = 4/6 - 3/6
20/12x = 1/6
1 2/3x = 1/6
5/3x = 1/6
x = 0,1
в)
5y + 15 = 10
5y = 10 - 15
5y = -5
y = -1
г)
(x + 7)/3 × 5 = 2x - 3
(5x + 35)/ 3 = 2x - 3
5x + 35 = (2x - 3) × 3
5x + 35 = 6x - 9
5x - 6x = -35 - 9
x = 44
д)
6(4x-7) - 3(5 - 8x) = 0
6(4x -7) = 3(5-8x)
2(4x - 7) = 5 - 8x
8x - 14 = 5 - 8x
8x + 8x = 5 + 14
16x = 19
x = 1,1875