Question

Hallar el valor de "x"

Answer 1

Respuesta:

X= 2/3, - 1

Explicación paso a paso:

$2x + \frac{2}{3} (3x - \frac{1}{2}) = 3 \times \frac{2}{3} \\ \frac{6x + 2}{3} ( \frac{6x - 1}{2} ) = \frac{11}{3} \\ \frac{36 {x}^{2} - 6x + 12x - 2 }{6} = \frac{11}{3} \\ \frac{36 {x}^{2} + 6x - 2 }{6} = \frac{11}{3} \\ 108 {x}^{2} + 18x - 6 = 66 \\ 108 {x}^{2} + 18x - 6 - 66 = 0 \\ 108 {x}^{2} + 18x - 72 = 0 \\ 54x \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: - 36 \\ 2x \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: 2 \\ \\ 54x - 36 = 0 \\ 54x = 36 \\ x = \frac{36}{54} \\ x = \frac{2}{3} \\ \\ 2x + 2 = 0 \\ 2x = - 2 \\ x = \frac{ - 2}{2} \\ x = - 1$