题目内容
3.解方程组:$\left\{\begin{array}{l}{7x-11y=15}\\{13x-17y=21}\end{array}\right.$.分析 方程组利用加减消元法求出解即可.
解答 解:$\left\{\begin{array}{l}{7x-11y=15①}\\{13x-17y=21②}\end{array}\right.$,
①+②得:18x-18y=36,即x-y=2③,
③×11-①得:4x=7,即x=$\frac{7}{4}$,
把x=$\frac{7}{4}$代入③得:y=-$\frac{1}{4}$,
则方程组的解为$\left\{\begin{array}{l}{x=\frac{7}{4}}\\{y=-\frac{1}{4}}\end{array}\right.$.
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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