Question

determine o valor de x e y, sabendo que:

$\: \\ \: \\ x + y = 136 \\ \frac{x}{y } = \frac{5}{12}$
​

Answer 1

Resposta:

$S=\{40,96\}$

Explicação passo-a-passo:

Vamos resolver o sistema linear (método da substituição).

$\left \{ {{x+y=136} \atop {\dfrac{x}{y}=\dfrac{5}{12}} \right. \\\\x=\dfrac{5y}{12}\\\\x+y=136\\\\\dfrac{5y}{12}+y=136\\\\5y+12y=136.12\\17y=136.12\\\\y=\dfrac{136.12}{17}\\\\y=8.12\\\boxed{y=96}\\\\x=\dfrac{5y}{12}\\\\x=\dfrac{5.96}{12}\\\\x=5.8\\\boxed{x=40}$

$S=\{40,96\}$