Question

E1 3×+5Y=18
E2 2×-3Y=-9
​

Answer 1

Respuesta:

x=9/19. y=63/19

Explicación paso a paso:

$2x - 3y = - 9 \\ 2x = - 9 + 3y \\ x = \frac{ - 9 + 3y}{2}$

sustituye en la primera

$3x + 5y = 18 \\ 3 \times ( \frac{ - 9 + 3y}{2} ) + 5y = 18 \\ \frac{ - 27 + 9y}{2} + \frac{10y}{2} = \frac{36}{2} \\ - 27 + 9y + 10y = 36 \\ 19y = 36 + 27 \\ 19y = 63 \\ y = \frac{19}{63}$

buscamos x

$x = \frac{ - 9 + 3y}{2} = \frac{ - 9 + 3 \times \frac{63}{19} }{2} = \\ \frac{ - 9 + \frac{189}{19} }{2} = \frac{ \frac{ - 171}{19} + \frac{189}{19} }{2} = \\ = \frac{ \frac{18}{19} }{2} = \frac{18}{19} \times \frac{1}{2} = \frac{18}{38} = \frac{9}{19}$

$x = \frac{9}{19}$

espero te sirva