Question

5x-y=3
-2x+4y=2
Método de igualación

Answer 1

$1. \: \: \: \: \: \: 5x = 3 + y \\ \: \: \: \: \: \: \: \: \: \:x = \frac{3 + y}{5} \\ 2. \: \: \: \: - 2x = 2 -4y \\ \: \: \: \: \: \: \: \: \: x = \frac{2 - 4y}{ - 2}$
$igualamos$
$\frac{3 + y}{5} = \frac{2 - 4y}{ \ - 2} \\ - 2(3 + y) = 5(2 - 4y) \\ - 6 - 2y = 10 - 20y \\ 20y - 2y = 10 + 6 \\ 18y = 16 \\ y = \frac{16}{18} = \frac{8}{9}$
$remplazamos$
$x = \frac{3 + \frac{8}{9} }{5} \\ x = \frac{ \frac{27 + 8}{9} }{5} \\ x = \frac{ \frac{35}{9} }{5} = \frac{35}{9 \times 5} = \frac{7}{9}$