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. | 1 | B. | 2 | C. | 3 | D. | 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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