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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