Question

resuelve por sustitución

Answer 1

✨! Holis !✨

Primer ejercicio ★

$5x + 2y = 1 \\ - 3x + 3y = 5 \\ \\ x = - \frac{1}{5} + \frac{2}{5} y \\ \\ - 3x + 3y = 5 \\ \\ - 3( - \frac{1}{5} + \frac{2}{5} y) + 3y = 5 \\ \\ y = \frac{22}{9} \\ \\ x = - \frac{1}{5} + \frac{2}{5} \times \frac{22}{9} \\ x = \frac{7}{9}$

verificamos --

$- 5 \times \frac{7}{9} + 2 \times \frac{22}{9} = 1 \\ - 3 \times \frac{7}{9} + 3 \times \frac{22}{9} = 5 \\ \\ 1 = 1 \\ 5 = 5$

Rpt : (x, y) = (22/9, 7/9)

Segundo problema ★

$2x + y = 6 \\ 4x + 3y = 14 \\ \\ - 4x - 2y = - 12 \\ 4x + 3y = 14 \\ \\ y = 2 \\ \\ 2x + 2 = 6 \\ \\ x = 2$

verificamos --

$2 \times 2 + 2 = 6 \\ 4 \times 2 + 3 \times 2 = 14 \\ \\ 6 = 6 \\ 14 = 14$

Rpt : (x, y) = (2, 2)

Suerte , descansa ^^