Question

sabendo que (x+6),2eY são diretamente proporcional a (x-6),3e12 determine os valores

Answer 1

$\(\dfrac{x+6}{x-6}=\dfrac{2}{3}=\dfrac{y}{12}\\\\\dfrac{2}{3}=\dfrac{y}{12}\Rightarrow y = \dfrac{2\times 12}{3}\Rightarrow y = 2\times 4 = \Rightarrow \boxed{y= 8}\\\\\dfrac{x+6}{x-6}=\dfrac{2}{3}\Rightarrow 2\times (x-6)=3\times (x+6)\Rightarrow 2x-12=3x+18\\\\2x-3x=18+12\Rightarrow -x=30\Rightarrow \boxed{x=-30}\\\\(-24, 2, 8)\quad(-36, 3, 12)\\\)$

Espero ter sido útil