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Afla valorile lui a astfel incat urmatoarele egalitati sa fie adevarate:
[tex]a \ + \frac{3}{8} + \frac{1}{8 } = 1[/tex]
[tex]a \ + \frac{1}{7} + \frac{3}{7} = 2[/tex]
a=?​


Răspuns :

Răspuns:

[tex]a + \dfrac{3}{8} + \dfrac{1}{8} = 1[/tex]

[tex]a + \dfrac{3+1}{8} = 1[/tex]

[tex]a + \dfrac{4}{8} = \dfrac{8}{8}[/tex]

[tex]a = \dfrac{8}{8} - \dfrac{4}{8}[/tex]

[tex]a = \dfrac{8 - 4}{8}[/tex]

[tex]a = \dfrac{4}{8}[/tex]

***

[tex]a + \dfrac{1}{7} + \dfrac{3}{7} = 2[/tex]

[tex]a + \dfrac{1 + 3}{7} = 2[/tex]

[tex]a + \dfrac{4}{7} = \dfrac{14}{7}[/tex]

[tex]a = \dfrac{14}{7} - \dfrac{4}{7}[/tex]

[tex]a = \dfrac{14 - 4}{7}[/tex]

[tex]a = \dfrac{10}{7}[/tex]