Question

X/2+y/3:4 x/3+y:1 metodo de igualación

Answer 1

Explicación paso a paso:

$\frac{x}{2} + \frac{y}{3} = 4 \\ \frac{3x}{6} + \frac{2y}{6} = \frac{24}{6} \\ 3x + 2y = 24 \\ 3x = 24 - 2y \\ x = \frac{24 - 2y}{3}$

$\frac{x}{3} + y = 1 \\ \frac{x}{3} = 1 - y \\ x = (1 - y)3 \\ x = 3 - 3y$

$3 - 3y = \frac{24 - 2y}{3} \\ 9 - 9y = 24 - 2y \\ - 24 + 9 = - 2y + 9y \\ - 15 = 7y \\ y = \frac{ - 15}{7}$

$x = 3 - 3y \\ = 3 - 3 \times \frac{ - 15}{7} = 3 - \frac{ - 45}{7} \\ = \frac{21}{7} - \frac{ - 45}{7} = \frac{66}{7}$

espero te sirva