[tex]a) \frac{3x - 2}{x - 1} + \frac{4}{x - 1} + \frac{x - 6}{x - 1} = [/tex]
[tex] = \frac{ 3x - 2 + 4 + x - 6}{x - 1} = [/tex]
[tex] = \frac{4x - 4}{x - 1} = [/tex]
[tex] = \frac{4(x - 1)}{x - 1} = [/tex]
[tex] = 4[/tex]
[tex] b)\frac{x - 1}{2} + \frac{2x - 7}{3} - \frac{7x + 1}{6} = [/tex]
[tex] = \frac{3(x - 1)}{6} + \frac{2(2x - 7)}{6} - \frac{7x + 1}{6} = [/tex]
[tex] = \frac{3x - 3}{6} + \frac{4x - 14}{6} - \frac{7x + 1}{6} = [/tex]
[tex] = \frac{3x - 3 + 4x - 14 - 7x - 1}{6} = [/tex]
[tex] = - \frac{18}{6} = [/tex]
[tex] = - 3[/tex]
