Question

método de igualación x+6y=27. x+y=9​

Answer 1

Explicación paso a paso:

$1) \\ x + 6y = 27 \\ x = 27 - 6y \\ 2) \\ x + y = 9 \\ x = 9 - y$

igualamos

$9 - y = 27 - 6y \\ - 27 + 9 = - 6y + y \\ - 18 = - 5y \\ 5y = 18 \\ y = \frac{18}{5}$

buscamos x

$x + y = 9 \\ x = 9 - y = \\ 9 - \frac{18}{5} = \\ \frac{45}{5} - \frac{18}{5} = \frac{45 - 18}{5} = \\ x = \frac{27}{5}$

$\frac{27}{5} + 6 \times \frac{18}{5} = \\ \frac{27}{5} + \frac{108}{5} = \\ \frac{135}{5} = 27$

$\frac{27}{5} + \frac{18}{5} = \frac{45}{5} = 9$

espero te sirva