Question

sendo x/y=19/14 e y-x= 10, calcule x e y

SOCORRO!!!


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Answer 1

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$\begin{cases}\sf\dfrac{x}{y}=\dfrac{19}{14}\\\sf y-x=10\end{cases}\\\sf \dfrac{x}{y}=\dfrac{19}{14}\implies \dfrac{x}{19}=\dfrac{y}{14}=k\\\sf x=19k~~y=14k\\\sf y-x=10\\\sf 14k-19k=10\\\sf -5k=10\cdot(-1)\\\sf 5k=-10\\\sf k=-\dfrac{10}{5}=-2\\\huge\boxed{\boxed{\boxed{\boxed{\sf x=19\cdot(-2)=-38\checkmark}}}}\\\huge\boxed{\boxed{\boxed{\boxed{\boxed{\sf y=14\cdot(-2)=-28\checkmark}}}}}$