Question

2x+5y=-24 Con el metodo de igualacion
8x-3y=19

Answer 1

Explicación paso a paso:

$2x + 5y = - 24 \\ 2x = - 24 - 5y \\ x = \frac{ - 24 - 5y}{2} \\ 8x - 3y = 19 \\ 8x = 19 + 3y \\ x = \frac{19 + 3y}{8} \\ \frac{ - 24 - 5y}{2} = \frac{19 + 3y}{8} \\ - 192 - 40y = 38 + 6y \\ - 192 - 38 = 6y + 40y \\ - 230 = 46y \\ y = \frac{ - 230}{46} = - 5 \\ y = - 5$

$x = \frac{19 + 3y}{8} = \frac{19 + 3( - 5)}{8} = \frac{19 - 15}{8} = \frac{4}{8} = \frac{1}{2 } \\ x = \frac{1}{2}$

$2 \times \frac{1}{2} + 5( - 5) = \frac{2}{2} + ( - 25) = 1 - 25 = 24$

$8 \times \frac{1}{2} - 3( - 5) = \frac{8}{2} - ( - 15) = 4 + 15 = 19$

espero te sirva