Question

resolver las siguientes ecuaciones 2+6x=8-4x/6​

Answer 1

- Ecuación:

❀ Resolvemos:

$2 + 6x = 8 - \frac{4x}{6} \\ \\ \frac{6x }{1} + \frac{4x}{6} = 8 - 2 \\ \\ \frac{6 \div 1 \times 6x + 6 \div 6 \times 4x}{6} = 6 \\ \\ \frac{36x + 4x}{6} = 6 \\ \\ \frac{40x}{6} = 6 \\ \\ x = \frac{6}{1} \div \frac{40}{6} \\ \\ x = \frac{6 \times 6}{1 \times 40} \\ \\ x = \frac{36}{40} \\ \\ x = \frac{9}{10}$

❀ Comprobamos:

$2 + 6x = 8 - \frac{4x}{6} \\ \\ 2 + 6 \times \frac{9}{10} = 8 - (4 \times \frac{9}{10}) \div 6 \\ \\ 2 + \frac{6 \times 9}{1 \times 10} = 8 - \frac{4 \times 9}{1 \times 10} \div 6 \\ \\ 2 + \frac{54}{10} = 8 - \frac{36}{10} \div 6 \\ \\ \frac{10 \div 1 \times 2 + 10 \div 10 \times 54}{10} = 8 - \frac{36 \times 1}{10 \times 6} \\ \\ \frac{20 + 54}{10} = 8 - \frac{36}{60 } \\ \\ \frac{74}{10} = \frac{60 \div 1 \times 8 - 60 \div 60 - 36}{60} \\ \\ \frac{74}{10} = \frac{480 - 36}{60} \\ \\ \frac{74}{10} = \frac{444}{60} \\ \\ \frac{74}{10} = \frac{74}{10}$