Question

13．已知a、b是常数，若关于m、n的二元一次方程组$\left\{\begin{array}{l}am+2bn=5.1\\ 3am-4bn=6.6\end{array}\right.$的解是$\left\{\begin{array}{l}m=1.6\\ n=-5\end{array}\right.$，则关于x、y的二元一次方程组$\left\{\begin{array}{l}a（x+2）+2b（y-3）=5.1\\ 3a（x+2）-4b（y-3）=6.6\end{array}\right.$的解是$\left\{\begin{array}{l}{x=-0.4}\\{y=-2}\end{array}\right.$．

Answer 1

分析 仿照已知方程组的解求出x与y的值，即为所求方程组的解．

解答 解：根据题意得：$\left\{\begin{array}{l}{x+2=m=1.6}\\{y-3=n=-5}\end{array}\right.$，
解得：$\left\{\begin{array}{l}{x=-0.4}\\{y=-2}\end{array}\right.$，
故答案为：$\left\{\begin{array}{l}{x=-0.4}\\{y=-2}\end{array}\right.$

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．