题目内容

20.方程组$\left\{\begin{array}{l}4x-3y=k\\ 2x+3y=5\end{array}\right.$的解与x与y的值相等,则k等于(  )
A.1B.2C.3D.4

分析 将y=x代入方程组$\left\{\begin{array}{l}4x-3y=k\\ 2x+3y=5\end{array}\right.$,得$\left\{\begin{array}{l}{x=k}\\{5x=5}\end{array}\right.$,解此方程组即可求出k的值.

解答 解:将y=x代入方程组$\left\{\begin{array}{l}4x-3y=k\\ 2x+3y=5\end{array}\right.$,得$\left\{\begin{array}{l}{x=k}\\{5x=5}\end{array}\right.$,
解得:$\left\{\begin{array}{l}{x=1}\\{k=1}\end{array}\right.$,
故选:A.

点评 本题考查的是解二元一次方程组,解决本题的关键是解二元一次方程组.

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