题目内容

20.方程组$\left\{\begin{array}{l}2x+y=4\\ 2x-y=0\end{array}\right.$的解是(  )
A.$\left\{\begin{array}{l}x=-1\\ y=2\end{array}\right.$B.$\left\{\begin{array}{l}x=1\\ y=2\end{array}\right.$C.$\left\{\begin{array}{l}x=1\\ y=-2\end{array}\right.$D.$\left\{\begin{array}{l}x=-1\\ y=-2\end{array}\right.$

分析 方程组利用加减消元法求出解即可.

解答 解:$\left\{\begin{array}{l}{2x+y=4①}\\{2x-y=0②}\end{array}\right.$,
①+②得:4x=4,即x=1,
把x=1代入①得:y=2,
则方程组的解为$\left\{\begin{array}{l}{x=1}\\{y=2}\end{array}\right.$,
故选B

点评 此题考查了解二元一次方程组,熟练掌握运算法则是解本题的关键.

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