Question

2x+3y=7 4x-5y=3 metodo de igualacion

Answer 1

Explicación paso a paso:

$2x + 3y = 7 \\ 2x = 7 - 3y \\ x = \frac{7 - 3y}{2} \\ 4x - 5y = 3 \\ 4x = 5y + 3 \\ x = \frac{5y + 3}{4} \\ x = x \\ \frac{7 - 3y}{2} = \frac{5y + 3}{4} \\ \frac{4(7 - 3y)}{2} = 5y + 3 \\ 2(7 - 3y) = 5y + 3 \\ 14 - 6y = 5y + 3 \\ 14 - 3 = 5y + 6y \\ 11 = 11y \\ 1 = y \\ x = \frac{5(1) + 3}{4} \\ x = \frac{8}{4} \\ x = 2$