题目内容
1.解方程组:$\left\{\begin{array}{l}{x+y=-8}\\{(x+y)^{2}+2x=4}\end{array}\right.$.分析 ①代入②可以求出x,再把x的值代入①可求出y.
解答 解:$\left\{\begin{array}{l}{x+y=-8}&{①}\\{(x+y)^{2}+2x=4}&{②}\end{array}\right.$
①代入②得到64+2x=4
∴x=-30,
把x=-30代入①得y=22,
∴$\left\{\begin{array}{l}{x=-30}\\{y=22}\end{array}\right.$.
点评 本题考查方程组的解法、解题关键是整体代入的思想,先求出x,然后求出y.
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