Question

Hallar el valor de x

5X-2/3=√1/4+1/2X

Por favor graciias

Answer 1

Explicación paso a paso:

$5x - \frac{2}{3} = \sqrt{ \frac{1}{4} } + \frac{1}{2} x \\ \\ 5x - \frac{2}{3} = \frac{1}{2} + \frac{1}{2} x \\ \\ 5x - \frac{1}{2} x = \frac{1}{2} + \frac{2}{3} \\ \\ \frac{10 - 1}{2} x = \frac{3 + 4}{6} \\ \\ \frac{9}{2} x = \frac{7}{6} \\ \\ x = \frac{7}{6} \div \frac{9}{2} \\ \\ x = \frac{14}{54} \\ \\ x = \frac{7}{27}$

comprobación

$5 \times \frac{7}{27} - \frac{2}{3} = \sqrt{ \frac{1}{4} } - \frac{1}{2} \times \frac{7}{27} \\ \\ \frac{35}{27} - \frac{2}{3} = \frac{1}{2} - \frac{7}{54} \\ \\ \frac{70 - 36}{54} = \frac{27 - 7}{54} \\ \\ \frac{34}{54} = \frac{20}{54} \\ \\ \frac{17}{27} = \frac{10}{27}$

la comprobación no da