Question

1) hesaver aplicando meto de sustitución verificar.
A) 4x+3y=11
5x-2y=8​

Answer 1

Respuesta:

x=2

y=1

Explicación paso a paso:

$4x + 3y = 11 \\ 4x = 11 - 3y \\ x = \frac{11 - 3y}{4} \\ 5x - 2y = 8 \\ 5 \times \frac{11 - 3y}{4} - 2y = 8 \\ \frac{55 - 15y}{4} - 2y = 8 \\ \frac{55 - 15y}{4} - \frac{8y}{4} = 8 \\ \frac{55 - 15y}{4} - \frac{8y}{4} = \frac{32}{4} \\ 55 - 15y - 8y = 32 \\ 55 - 23y = 32 \\ - 23y = 32 - 55 \\ - 23y = - 23 \\ 23y = 23 \\ y = \frac{23}{23} = 1$

$x = \frac{11 - 3y}{4} = \frac{11 - 3 \times 1}{4} = \frac{11 - 3}{4} = \frac{8}{4} = 2 \\ x = 2$

$4x + 3y = 11 \\ 4 \times 2 + 3 \times 1 = 8 + 3 = 11 \\ 5x - 2y = 8 \\ 5 \times 2 - 2 \times 1 = 10 - 2 = 8$

espero te sirva