题目内容
20.若二元一次方程组$\left\{\begin{array}{l}{2x-3y=15}\\{ax+by=1}\end{array}\right.$和$\left\{\begin{array}{l}{cx-dy=5}\\{x+y=1}\end{array}\right.$的解相同,则可通过解方程组$\left\{\begin{array}{l}{2x-3y=15}\\{x+y=1}\end{array}\right.$求得这个解.分析 联立两方程组中不含a与b的方程组成方程组即可.
解答 解:若二元一次方程组$\left\{\begin{array}{l}{2x-3y=15}\\{ax+by=1}\end{array}\right.$和$\left\{\begin{array}{l}{cx-dy=5}\\{x+y=1}\end{array}\right.$的解相同,则可通过解方程组$\left\{\begin{array}{l}{2x-3y=15}\\{x+y=1}\end{array}\right.$求得这个解,
故答案为:$\left\{\begin{array}{l}{2x-3y=15}\\{x+y=1}\end{array}\right.$
点评 此题考查了二元一次方程组,熟练掌握运算法则是解本题的关键.
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