Question

{30/x+1 - 4|y-1|=22 {9/x+1 + 6|y-1|=21

Answer 1

ĐKXĐ: x<>-1

\(\left\{{}\begin{matrix}\dfrac{30}{x+1}-4\left|y-1\right|=22\\\dfrac{9}{x+1}+6\left|y-1\right|=21\end{matrix}\right.\)

=>\(\left\{{}\begin{matrix}\dfrac{90}{x+1}-12\left|y-1\right|=66\\\dfrac{18}{x+1}+12\left|y-1\right|=42\end{matrix}\right.\Leftrightarrow\left\{{}\begin{matrix}\dfrac{108}{x+1}=108\\\dfrac{9}{x+1}+6\left|y-1\right|=21\end{matrix}\right.\)

=>\(\left\{{}\begin{matrix}x+1=1\\6\left|y-1\right|=21-9=12\end{matrix}\right.\)

=>\(\left\{{}\begin{matrix}x=0\\\left|y-1\right|=2\end{matrix}\right.\)

=>\(\left\{{}\begin{matrix}x=0\\y-1\in\left\{2;-2\right\}\end{matrix}\right.\)

=>\(\left\{{}\begin{matrix}x=0\\y\in\left\{3;-1\right\}\end{matrix}\right.\left(nhận\right)\)