题目内容

18.方程组$\left\{\begin{array}{l}{2a-3b=15}\\{3a+5b=32.9}\end{array}\right.$的解为$\left\{\begin{array}{l}{a=9.3}\\{b=3.2}\end{array}\right.$,则方程组$\left\{\begin{array}{l}{2(x+2)-3(y-1)=13}\\{3(x+2)+5(y-1)=30.9}\end{array}\right.$的解是$\left\{\begin{array}{l}{x=7.3}\\{y=4.2}\end{array}\right.$.

分析 仿照已知方程组的解确定出所求方程组的解即可.

解答 解:方程组$\left\{\begin{array}{l}{2a-3b=15}\\{3a+5b=32.9}\end{array}\right.$的解为$\left\{\begin{array}{l}{a=9.3}\\{b=3.2}\end{array}\right.$,
则方程组$\left\{\begin{array}{l}{2(x+2)-3(y-1)=13}\\{3(x+2)+5(y-1)=30.9}\end{array}\right.$的解为$\left\{\begin{array}{l}{x+2=9.3}\\{y-1=3.2}\end{array}\right.$,即$\left\{\begin{array}{l}{x=7.3}\\{y=4.2}\end{array}\right.$.
故答案为:$\left\{\begin{array}{l}{x=7.3}\\{y=4.2}\end{array}\right.$.

点评 此题考查了二元一次方程组的解,熟练掌握运算法则是解本题的关键.

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