Question

AYUDA DOY CORONA 2x + 7y=17
5x + 4y = 2
Método de igualación PORFA

Answer 1

Respuesta:

x=-2

y=3

Explicación paso a paso:

$2x + 7y = 17 \\ 2x = 17 - 7y \\ x = \frac{17 - 7y}{2}$

$5x + 4y = 2 \\ 5x = 2 - 4y \\ x = \frac{2 - 4y}{5}$

$\frac{17 - 7y}{2} = \frac{2 - 4y}{5} \\ 85 - 35y = 4 - 8y \\ - 4 + 85 = - 8y + 35y \\ 81 = 27y \\ y = \frac{81}{27} = 3 \\ y = 3$

$x = \frac{2 - 4y}{5} = \frac{2 - 4 \times 3}{5} = \\ \frac{2 - 12}{5} = \frac{ - 10}{5} = - 2 \\ x = - 2$

$2 \times ( - 2) + 7 \times 3 = - 4 + 21 = 17 \\ 5 \times ( - 2) + 4(3) = - 10 + 12 = 2$

espero te sirva