Question

5x+4y =23 4x+7y=26 ecuaciones simultáneas​

Answer 1

Explicación paso a paso:

$5x + 4y = 23 \\ 5x = 23 - 4y \\ x = \frac{23 - 4y}{5}$

$4x + 7y = 26 \\ 4x = 26 - 7y \\ x = \frac{26 - 7y}{4}$

$\frac{23 - 4y}{5} = \frac{26 - 7y}{4} \\ 92 - 16y = 130 - 35y \\ 92 - 130 = - 35y + 16y \\ - 38 = - 19y \\ 19y = 38 \\ y = \frac{38}{19} = 2$

$4x + 7y = 26 \\ 4x + 7 \times 2 = 26 \\ \\ 4x + 14 = 26 \\ 4x = 26 - 14 \\ 4x = 12 \\ x = \frac{12}{4} = 3$

$5 \times 3 + 4 \times 2 = 23 \\ 4 \times 3 + 7 \times 2 = 26$