题目内容

7.方程组$\left\{\begin{array}{l}{x-1=0}\\{x+1=y}\end{array}\right.$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.$\left\{\begin{array}{l}{x=2}\\{y=1}\end{array}\right.$D.$\left\{\begin{array}{l}{x=0}\\{y=-1}\end{array}\right.$

分析 利用代入消元法求出方程组的解,即可作出判断.

解答 解:$\left\{\begin{array}{l}{x-1=0①}\\{x+1=y②}\end{array}\right.$,
由①得:x=1,
把x=1代入②得:y=2,
则方程组的解为$\left\{\begin{array}{l}{x=1}\\{y=2}\end{array}\right.$,
故选A

点评 此题考查了解二元一次方程组,利用了消元的思想,消元的方法有:代入消元法与加减消元法.

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