Cevap:
[tex]9) \: \frac{5}{2} \\ 10) \frac{5}{12} \\ 11) \: 1 \\ 12) \: - 2[/tex]
Adım adım açıklama:
[tex]9) \: \: \frac{x}{2} - (1 - \frac{x - 2}{2} ) = \frac{1}{2} \\ = \frac{x}{2} - ( \frac{2}{2} - \frac{x - 2}{2} ) = \frac{1}{2} \\ = \frac{x}{2} - ( \frac{2 - (x - 2)}{2} = \frac{1}{2} \\ = \frac{x}{2} - ( \frac{2 - x + 2}{2}) = \frac{1}{2} \\ = \frac{x}{2} - (\frac{4 - x}{2} ) = \frac{1}{2} \\ = \frac{x - (4 - x)}{2} = \frac{1}{2} \\ = \frac{x - 4 + x}{2} = \frac{1}{2}[/tex]
[tex] = \frac{x - 4 + x}{2} = \frac{1}{2} \\ = \frac{2x - 4}{2} = \frac{1}{2} \\ıcler \: dıslar \: carpımı \: yapılır. \\ = (2x - 4).2 = 2.1 \\ = 2x.2 - 4.2 = 2 \\ = 4x - 8 = 2 \\ = 4x = 2 + 8 \\ = 4x = 10 \\ = x = \frac{10}{4} = \frac{5}{2} [/tex]
[tex]10) \: \: \frac{2x - 3}{3x - 2} = \frac{1}{3} - 1 \\ = \frac{2x - 3}{3x - 2} = \frac{1}{3} - \frac{3}{3} \\ = \frac{2x - 3}{3x - 2} = \frac{ - 2}{3} \\ ıcler \: dısları \: carpımı \: yapılır. \\ = (2x - 3).3 = (3x - 2). - 2 \\ = 2x.3 - 3.3 \\ = 3x. (- 2 ) - ( - 2).( - 2) \\ = 6x - 9 = - 6x - 4 \\ = 6x + 6x = - 4 + 9[/tex]
[tex] = 6x + 6x = - 4 + 9 \\ = 12x = 5 \\ = x = \frac{5}{12} [/tex]
[tex]13) \: \: \frac{1 - x}{3} + x = 1 \\ = \frac{1 - x}{3} + \frac{3x}{3} = \frac{3}{3} \\ = 1 - x + 3x = 3 \\ = 1 + 2x = 3 \\ = 2x = 3 - 1 \\ = 2x = 2 \\ = x = 1[/tex]
[tex]14) \: \: 2.(x - \frac{x - 5}{4} ) = \frac{1 - x}{3} \\ = 2.x - 2. \frac{x - 5}{4} = \frac{1 - x}{3} \\ = 2x - \frac{x - 4}{2} = \frac{1 - x}{3} \\ = \frac{12x}{6} - \frac{6x - 24}{6} = \frac{4 - 4x}{12} \\ = 12x - (6x - 24) = 4 - 4x \\ = 12x - 6x + 24 = 4 - 4x \\ = 6x + 24 = 4 - 4x \\ = 6x + 4x = 4 - 24 \\ = 10x = - 20[/tex]
[tex] = 10x = - 20 \\ = x = - 2[/tex]
