题目内容

13.解方程组
(1)$\left\{\begin{array}{l}{3x+2y=6}\\{y=x-2}\end{array}\right.$
(2)$\left\{\begin{array}{l}{4x-y=3}\\{3x+2y=5}\end{array}\right.$.

分析 (1)方程组利用代入消元法求出解即可;
(2)方程组利用加减消元法求出解即可.

解答 解:(1)$\left\{\begin{array}{l}{3x+2y=6①}\\{y=x-2②}\end{array}\right.$,
把②代入①得:3x+2x-4=6,即x=2,
把x=2代入②得:y=0,
则方程组的解为$\left\{\begin{array}{l}{x=2}\\{y=0}\end{array}\right.$;
(2)$\left\{\begin{array}{l}{4x-y=3①}\\{3x+2y=5②}\end{array}\right.$,
①×2+②得:11x=11,即x=1,
把x=1代入①得:y=1,
则方程组的解为$\left\{\begin{array}{l}{x=1}\\{y=1}\end{array}\right.$.

点评 此题考查了解二元一次方程组,熟练掌握运算法则是解本题的关键.

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