Question

Qual valor de x e y em:
$\frac{x}{2} = \frac{y}{3} \: \: \: e \: \: \: x + y = 40$
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Answer 1

$\frac{x}{2} = \frac{y}{3} \\ x + y = 40 \\ \\ x = 40 - y \\ \\ \frac{40 - y}{2} = \frac{y}{3} \\ \frac{3(40 - y)}{6} = \frac{2y}{6} \\ 120 - 3y = 2y \\ - 3y - 2y = - 120 \\ - 5y = - 120 \: .( - 1) \\ 5y = 120 \\ y = \frac{120}{5} \\ y = 24 \\ \\ x = 40 - y \\ x = 40 - 24 \\ x = 16 \:$

S= {16, 24}