Question

5) Resolver las siguientes ecuaciones. Luego verificar:

a)
[tex] - \frac{ 2}{5} ( \frac{3}{4} x + 1) = \frac{3}{2 } + 3x[/tex]
b)
[tex]( \frac{1}{7}x + 1) \div \frac{5}{8 } = \frac{1}{7} x + \frac{1}{5} + \frac{2}{7} x[/tex]

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Answer 1

Verified answer

Respuesta:

a)

[tex] \frac{2}{5} ( \frac{3x - 4}{4} ) = \frac{3 + 6x}{2} [/tex]

[tex] \frac{6x - 8}{20} = \frac{3 + 6x}{2} [/tex]

[tex]2(6x - 8) = 20(3 + 6x)[/tex]

[tex]12x - 16 = 60 + 120x[/tex]

[tex] - 76 = 108x[/tex]

[tex] - \frac{8}{9} [/tex]=x

b)

[tex] \frac{n + 7}{7} \div \frac{5}{8} = \frac{5n + 7 + 10n}{35} [/tex]

[tex] \frac{8n + 56}{35} = \frac{15n + 7}{35} [/tex]

[tex]49 = 7n[/tex]

[tex]7 = n[/tex]