Tìm x,y biết rằng: $\frac{1+2y}{18}$= $\frac{1+4y}{24}$= $\frac{1+6y}{6x}$

Đáp án:

$y= \dfrac{1}{4}$

$x= 5$

Giải thích các bước giải:

$\dfrac{1+2y}{18}= \dfrac{1+4y}{24}\Rightarrow 24\left ( 1+2y \right )= 18\left ( 1+4y \right )$ 
$\Rightarrow 24+48y= 18+72y\Rightarrow 24-18= 72y-48y$
$\Rightarrow 6= 24y\Rightarrow y= \dfrac{1}{4}$
$\dfrac{1+4y}{24}= \dfrac{1+6y}{6x}\Rightarrow \dfrac{1+4.\dfrac{1}{4}}{24}= \dfrac{1+6.\dfrac{1}{4}}{6x}$
$\Rightarrow \dfrac{2}{24}= \dfrac{\dfrac{5}{2}}{6x}\Rightarrow x= 5$