Question

10x +6y=10
8x+14y=54
resolver por el metodo de igualacion

Answer 1

Respuesta:

y=5 x=-2

Explicación paso a paso:

$10x + 6y = 10 \\ 10x = 10 - 6y \\ x = \frac{10 - 6y}{10} \\ 8x + 14y = 54 \\ 8x = 54 - 14y \\ x = \frac{54 - 14y}{8}$

$\frac{10 - 6y}{10} = \frac{54 - 14y}{8} \\ 80 - 48y = 540 - 140y \\ - 540 + 80 = - 140y + 48y \\ - 460 = - 92y \\ 92y = 460 \\ y = \frac{460}{92} = 5$

$x = \frac{10 - 6y}{10} = \frac{10 - 6 \times 5}{10} = \frac{10 - 30}{10} = \frac{ - 20}{10} = - 2$

comprueba

$10 \times ( - 2) + 6 \times 5 = \\ = - 20 + 30 = 10 \\ 8 \times ( - 2) + 14 \times 5 = \\ - 16 + 70 = 54$

espero te sirva