题目内容

15.下列各组数值是方程x-2y=6的解的是(  )
A.$\left\{\begin{array}{l}{x=2}\\{y=1}\end{array}\right.$B.$\left\{\begin{array}{l}{x=-1}\\{y=1}\end{array}\right.$C.$\left\{\begin{array}{l}{x=0}\\{y=-2}\end{array}\right.$D.$\left\{\begin{array}{l}{x=4}\\{y=-1}\end{array}\right.$

分析 把各自中x与y的值代入方程检验即可.

解答 解:A、把$\left\{\begin{array}{l}{x=2}\\{y=1}\end{array}\right.$代入方程得:左边=2-2=0,右边=6,左边≠右边,不符合题意;
B、把$\left\{\begin{array}{l}{x=-1}\\{y=1}\end{array}\right.$代入方程得:左边=-1-2=-3,右边=6,左边≠右边,不符合题意;
C、把$\left\{\begin{array}{l}{x=0}\\{y=-2}\end{array}\right.$代入方程得:左边=4,右边=6,左边≠右边,不符合题意;
D、把$\left\{\begin{array}{l}{x=4}\\{y=-1}\end{array}\right.$代入方程得:左边=4+2=6,右边=6,左边=右边,符合题意,
故选D

点评 此题考查了二元一次方程的解,方程的解即为能使方程左右两边相等的未知数的值.

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