Question

método de reducción
5x + 2y =8
2x - 4y=-8
​

Answer 1

Resolución:

$5x + 2y = 8 \: \: (2)\\ 2x - 4y = - 8$

$10x + 4y = 16 \\ 2x - 4y = - 8 \\ 12x = 8 \\ x = \frac{8}{12} = \frac{4}{6} \\ x = \frac{4}{6}$

Para obtener y:

$5x + 2y = 8 \\ 5( \frac{4}{6}) + 2y = 8 \\ \frac{10}{3} + 2y = 8 \\ 2y = 8 - \frac{10}{3} \\ 2y = \frac{24}{3} - \frac{10}{3} \\ 2y = - \frac{14}{3} \\ y = ( \frac{1}{2} )( - \frac{14}{3} ) \\ y = - \frac{14}{6} = - \frac{7}{3} \\ y = - \frac{7}{3}$