2.
a)
[tex]x - \frac{1}{7} = \frac{1}{7} [/tex]
[tex]x = \frac{1}{7} + \frac{1}{7} = \frac{2}{7} [/tex]
b)
[tex] \frac{8}{11} - x = \frac{7}{11} [/tex]
[tex] - x = \frac{7}{11} - \frac{8}{11} [/tex]
[tex] - x = - \frac{1}{11} [/tex]
[tex]x = \frac{1}{11} [/tex]
c)
[tex]x - \frac{1}{7} = 3 \frac{2}{7} [/tex]
[tex]x = 3\frac{2}{7} + \frac{1}{7} = 3 \frac{3}{7} [/tex]
d)
[tex]2 \frac{4}{5} - x = 1 \frac{1}{5} [/tex]
[tex] - x = 1 \frac{1}{5} - 2 \frac{4}{5} [/tex]
[tex] - x = \frac{6}{5} - \frac{14}{5} [/tex]
[tex] - x = - \frac{8}{5} [/tex]
[tex]x = \frac{8}{5} = 1 \frac{3}{5} [/tex]
e)
[tex]x - \frac{2}{3} = 0[/tex]
[tex]x = \frac{2}{3} [/tex]
f)
[tex] \frac{17}{31} - x = \frac{17}{31} [/tex]
[tex] - x = \frac{17}{31} - \frac{17}{31} [/tex]
[tex] - x = 0[/tex]
[tex]x = 0[/tex]
3.
a)
[tex]1 \frac{2}{9} + 1\frac{5}{9} = 2 \frac{7}{9} [/tex]
[tex]2 \frac{7}{9} - 1 \frac{6}{9} = 1 \frac{1}{9} [/tex]
[tex]1 \frac{1}{9} + 2 \frac{5}{9} = 3 \frac{6}{9} [/tex]
[tex]3 \frac{6}{9} - 1 \frac{4}{9} = 2 \frac{2}{9} [/tex]
b)
[tex]3 \frac{7}{11} - 1 \frac{4}{11} = 2 \frac{3}{11} [/tex]
[tex]2 \frac{3}{11} + 1 \frac{7}{11} = 3 \frac{10}{11} [/tex]
[tex]3 \frac{10}{11} - 2 \frac{8}{11} = 1 \frac{2}{11} [/tex]
[tex]1 \frac{2}{11} + 3 \frac{6}{11} = 4 \frac{8}{11} [/tex]
