1. a) (x + 12 – 2x + 7)/ (8x – 7) = (19 – x)/(8x – 7)
b) (11 – x + 5 + 4x)/ (5x – 9) = (3x + 16)/(5x –9)
2. a) (3x + 11 + 9 + 2x)/(x + 4) = (5x + 20)/(x +4) = 5(x + 4) / (x + 4) = 5
b) (7x – 11 – x – 4)/(2x – 5) = (6x – 15)/(2x –5) = 3(2x – 5) / (2x – 5) = 3
c) (5x – 11 – 7 – 2x) / (x – 6) = (3x – 18) /(x –6) = 3(x – 6) / (x – 6) = 3
d) ((4x – 10)/x(x – 5) – (4y – 2)/y(x – 5) =(4xy – 10y – 4xy + 2x) / xy(x – 5) =
= (2x – 10)/xy(x – 5) = 2(x – 5) /xy(x- 5) = 2/xy
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Answers & Comments
1. a) (x + 12 – 2x + 7)/ (8x – 7) = (19 – x)/(8x – 7)
b) (11 – x + 5 + 4x)/ (5x – 9) = (3x + 16)/(5x –9)
2. a) (3x + 11 + 9 + 2x)/(x + 4) = (5x + 20)/(x +4) = 5(x + 4) / (x + 4) = 5
b) (7x – 11 – x – 4)/(2x – 5) = (6x – 15)/(2x –5) = 3(2x – 5) / (2x – 5) = 3
c) (5x – 11 – 7 – 2x) / (x – 6) = (3x – 18) /(x –6) = 3(x – 6) / (x – 6) = 3
d) ((4x – 10)/x(x – 5) – (4y – 2)/y(x – 5) =(4xy – 10y – 4xy + 2x) / xy(x – 5) =
= (2x – 10)/xy(x – 5) = 2(x – 5) /xy(x- 5) = 2/xy