题目内容
11.方程组$\left\{\begin{array}{l}{y-x=21}\\{y=4x}\end{array}\right.$的解为$\left\{\begin{array}{l}{x=7}\\{y=28}\end{array}\right.$.分析 方程组利用代入消元法求出解即可.
解答 解:$\left\{\begin{array}{l}{y-x=21①}\\{y=4x②}\end{array}\right.$,
把②代入①得:4x-x=21,即x=7,
把x=7代入②得:y=28,
则方程组的解为$\left\{\begin{array}{l}{x=7}\\{y=28}\end{array}\right.$,
故答案为$\left\{\begin{array}{l}{x=7}\\{y=28}\end{array}\right.$.
点评 本题主要考查了二元一次方程组的解法,熟练掌握代入消元法和加减法消元法是求解的关键.
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