题目内容
19.方程组$\left\{\begin{array}{l}{2x-y=5}\\{x+y=1}\end{array}\right.$的解是$\left\{\begin{array}{l}{x=2}\\{y=-1}\end{array}\right.$.分析 方程组利用加减消元法求出解即可.
解答 解:$\left\{\begin{array}{l}{2x-y=5①}\\{x+y=1②}\end{array}\right.$,
①+②得:3x=6,即x=2,
把x=2代入②得:y=-1,
则方程组的解为$\left\{\begin{array}{l}{x=2}\\{y=-1}\end{array}\right.$.
故答案为:$\left\{\begin{array}{l}{x=2}\\{y=-1}\end{array}\right.$
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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