题目内容
15.方程组$\left\{\begin{array}{l}{2x-y=3}\\{x+y=3}\end{array}\right.$的解是( )| A. | $\left\{\begin{array}{l}{x=1}\\{y=2}\end{array}\right.$ | B. | $\left\{\begin{array}{l}{x=2}\\{y=1}\end{array}\right.$ | C. | $\left\{\begin{array}{l}{x=1}\\{y=1}\end{array}\right.$ | D. | $\left\{\begin{array}{l}{x=2}\\{y=3}\end{array}\right.$ |
分析 利用加法消元法求解.
解答 解:∵$\left\{\begin{array}{l}{2x-y=3}\\{x+y=3}\end{array}\right.$,
∴3x=6,解得x=2,
∴y=3-x=3-2=1.
∴方程组$\left\{\begin{array}{l}{2x-y=3}\\{x+y=3}\end{array}\right.$的解是$\left\{\begin{array}{l}{x=2}\\{y=1}\end{array}\right.$.
故选:B.
点评 本题考查二元一次方程组的解的求法,是基础题,解题时要认真审题,注意加减消元法的合理运用.
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