Question

x/16=y/4 x-y=9 Descubra o valor de x e y

Answer 1

Resposta:

$\left\{ \begin{array}{lr}\sf \dfrac{x}{16} = \dfrac{y}{4} \\\\\sf x - y= 9\end{array}\right$

Aplicar o método da substituição:

$\left\{ \begin{array}{lr}\sf \dfrac{x}{16} = \dfrac{y}{4} \\\\\sf x = 9 +y \end{array}\right$

$\sf \dfrac{x}{16} = \dfrac{y}{4}$

$\sf \dfrac{9 +y }{16} = \dfrac{y}{4}$

$\sf 16 y = 4 \cdot (9 + y)$

$\sf 16y = 36 + 4y$

$\sf 16y - 4y = 36$

$\sf 12y = 36$

$\sf y = \dfrac{36}{12}$

$\boldsymbol{ \sf \displaystyle y = 3 } \quad \gets$

$\sf x = 9 + y$

$\sf x = 9 + 3$

$\boldsymbol{ \sf \displaystyle x = 12 } \quad \gets$

$\boldsymbol{ \sf \displaystyle S: (x, y) = (12, 3)}$

Explicação passo-a-passo: