▪1) (1 1/3)х + 0,2 = 1
(1 1/3)х = 1 - 0,2
(1 1/3)х = 0,8
х = 0,8 ÷ 1 1/3 = 8/10 ÷ 4/3 = 4/5 × 3/4
х = 3/5 = 0,6
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▪2) (3/25)у - 1,2 = 0,6
(3/25)у = 0,6 + 1,2
(3/25)у = 1,8
у = 1,8 ÷ 3/25 = 18/10 × 25/3 = 9/5 × 25/3 = 3 × 5
у = 15
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▪3) 1,32х + 4 = 10 3/5
1,32х = 10 3/5 - 4
1,32х = 6 3/5
х = 6 3/5 ÷ 1,32 = 33/5 ÷ 132/100 = 33/5 ÷ 33/25 = 33/5 × 25/33 = 25/5
х = 5
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▪4) (7/12)х - 0,5 = 1,25
(7/12)х = 1,25 + 0,5
(7/12)х = 1,75
х = 1,75 ÷ 7/12 = 1 3/4 × 12/7 = 7/4 × 12/7
х = 3
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▪5) (5/6)х - 4,15 = 2,1
(5/6)х = 2,1 + 4,15
(5/6)х = 6,25
х = 6,25 ÷ 5/6 = 25/4 × 6/5 = (5 × 3)/2 = 15/2
х = 7 1/2 = 7,5
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▪6) 2,7 + (2/9)у = 4,3
(2/9)у = 4,3 - 2,7
(2/9)у = 1,6
у = 1,6 ÷ 2/9 = 16/10 × 9/2 = 8/5 × 9/2 = (4×9)/5 = 36/5 = 7 1/5
у = 7 1/5 = 7,2