Question

sabendo-se que x-y=96 e x/y=11/3, os valores de x e y são respectivamente:

Answer 1

x-y=96

x/y = 11/3

I) x=96+y

II) substituir o x na fração:

96+y/y = 11/3

11y = 288 + 3y

11y - 3y = 288

8y = 288

y=288/8

y=36

III)

x = 96 + y

x = 96 + 36

x = 132

Logo, x=132 e y=96.

Answer 2

$\begin{cases}x-y=96\\\frac{x}{y}=\frac{11}{3}\end{cases}\\\begin{cases}x-y=96\\\frac{x-y}{y}=\frac{11-3}{3}\text{ e } x-y=96 \text{ Ent\~ao...}\\\end{cases}\\\frac{96}{y}=\frac{8}{3}\\\Rightarrow = y = \frac{3\times 96}{8}\\\Rightarrow y = 36\\\text{Se }x-y=96 \to x = 96 + y\to x = 96+36=132\\\\\\\text{ x = 132 e y = 36}$