Question

Answer 1

\(\left(x-y\right)^{2015}=5^{2015}\Rightarrow x-y=5\Rightarrow y=x-5\) (1)

Mặt khác \(\dfrac{x}{y}=\dfrac{4}{3}\Rightarrow3x=4y\Rightarrow y=\dfrac{3x}{4}\) (2)

(1);(2) \(\Rightarrow x-5=\dfrac{3x}{4}\Rightarrow4x-20=3x\)

\(\Rightarrow x=20\)

\(\Rightarrow y=x-5=15\)

Answer 2

Ta có: \(\dfrac{x}{y}=\dfrac{4}{3}\)

nên \(x=\dfrac{4}{3}y\)

Ta có: \(\left(x-y\right)^{2015}=5^{2015}\)

\(\Leftrightarrow x-y=5\)

\(\Leftrightarrow y\cdot\dfrac{1}{3}=5\)

\(\Leftrightarrow y=15\)

\(\Leftrightarrow x=\dfrac{4}{3}\cdot15=20\)