a)
[tex] \frac{2x + 1}{5} = \frac{7}{8} [/tex]
[tex]8(2x + 1) = 35[/tex]
[tex]16x + 8 = 35[/tex]
[tex]16x = 35 - 8[/tex]
[tex]16x = 27[/tex]
[tex]x = \frac{27}{06} [/tex]
b)
[tex] \frac{5}{4} = \frac{3x + 2}{12.5} [/tex]
[tex] \frac{4}{5} = \frac{3x + 2}{ \frac{25}{2} } [/tex]
[tex] \frac{4}{5} = \frac{(3x + 2)}{25} [/tex]
[tex] \frac{4}{5} = \frac{6x + 4}{25} [/tex]
[tex]100 = 5(6x + 4)[/tex]
[tex]20 = (6x + 4)[/tex]
[tex] - 6x + 20 = 4[/tex]
[tex] - 6x = 4 - 20[/tex]
[tex] - 6x = - 16[/tex]
[tex]x = \frac{8}{3} [/tex]