$\dfrac{x}{2}=\dfrac{y}{5}=k$
$\Rightarrow x=2k; y=5k$
Ta có $xy=10$
$\Rightarrow 2k.5k=10$
$\Leftrightarrow k^2=1$
$\Leftrightarrow k=\pm 1$
$k=1\Rightarrow x=2; y=5$
$k=-1\Rightarrow x=-2; y=-5$
Vậy $(x;y)=(\pm 2;\pm 5)$
x/2=y/5 <=> x/2.x/2 = y/5.x/2
= x^2/4 = x.y/10 <=> x^2/4 = 10/10 = 1
=> x^2/4 =1 => x^2 = 1.4 = 4 => x = 2 hoặc -2
=> y = 10 : 2 = 5
10 : (-2) = -5
Vậy x = 2 hoặc -2
y = 5 hoặc -5
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