题目内容
7.$\left\{\begin{array}{l}{x=-2}\\{y=2}\end{array}\right.$是下列哪个二元一次方程组的解( )| A. | $\left\{\begin{array}{l}{2x-y=-3}\\{4x+y=6}\end{array}\right.$ | B. | $\left\{\begin{array}{l}{2x-y=-6}\\{2x+y=2}\end{array}\right.$ | C. | $\left\{\begin{array}{l}{x+y=0}\\{x-y=2}\end{array}\right.$ | D. | $\left\{\begin{array}{l}{2x+y=-2}\\{x+2y=2}\end{array}\right.$ |
分析 根据加减消元法,求出二元一次方程组的解,即可解答.
解答 解:A、方程组$\left\{\begin{array}{l}{2x-y=-3}\\{4x+y=6}\end{array}\right.$的解为$\left\{\begin{array}{l}{x=\frac{1}{2}}\\{y=4}\end{array}\right.$,故不合题意;
B、方程组$\left\{\begin{array}{l}{2x-y=-6}\\{2x+y=2}\end{array}\right.$的解为$\left\{\begin{array}{l}{x=-1}\\{y=4}\end{array}\right.$,故不合题意;
C、方程组$\left\{\begin{array}{l}{x+y=0}\\{x-y=2}\end{array}\right.$的解为$\left\{\begin{array}{l}{x=1}\\{y=-1}\end{array}\right.$,故不合题意;
D、方程组$\left\{\begin{array}{l}{2x+y=-2}\\{x+2y=2}\end{array}\right.$的解为$\left\{\begin{array}{l}{x=-2}\\{y=2}\end{array}\right.$,正确;
故选:D.
点评 本题考查了二元一次方程组的解,解决本题的关键是用加减法解二元一次方程组.
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