Question

[Nguyễn Lan Anh]

 GIẢI CÁC HỆ PHƯƠNG TRÌNH SAU

Answer 1

[nguyễn thị hương giang]

c)\(\left\{{}\begin{matrix}1,5x+0,75y=1\\3x+1,5y=2\end{matrix}\right.\Rightarrow\left\{{}\begin{matrix}3x+1,5y=2\\3x+1,5y=2\end{matrix}\right.\)

   \(\Rightarrow PT\) có vô số nghiệm.

g)\(\left\{{}\begin{matrix}\dfrac{3}{x-2}+\dfrac{2}{y+1}=8\\\dfrac{1}{x-2}+\dfrac{3}{y+1}=-1\end{matrix}\right.\)

  Đặt \(\left\{{}\begin{matrix}a=\dfrac{1}{x-2}\\b=\dfrac{1}{y+1}\end{matrix}\right.\Rightarrow\left\{{}\begin{matrix}3a+2b=8\\a+3b=-1\end{matrix}\right.\)

 \(\Rightarrow\left\{{}\begin{matrix}3a+2b=8\\3a+9b=-3\end{matrix}\right.\Rightarrow\left\{{}\begin{matrix}-7b=11\\a=-1-3b\end{matrix}\right.\Rightarrow\left\{{}\begin{matrix}b=-\dfrac{11}{7}\\a=\dfrac{26}{7}\end{matrix}\right.\)

\(\Rightarrow\left\{{}\begin{matrix}\dfrac{1}{x-2}=\dfrac{26}{7}\\\dfrac{1}{y+1}=-\dfrac{11}{7}\end{matrix}\right.\Rightarrow\left\{{}\begin{matrix}x=\dfrac{59}{26}\\y=-\dfrac{18}{11}\end{matrix}\right.\)

Answer 2

[nguyễn thị hương giang]

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