Question

6．已知$\left\{\begin{array}{l}{x=4}\\{y=-2}\end{array}\right.$與$\left\{\begin{array}{l}{x=1}\\{y=1}\end{array}\right.$都是方程kx+b=y的解，求k和b的值．

Answer 1

分析 把$\left\{\begin{array}{l}{x=4}\\{y=-2}\end{array}\right.$與$\left\{\begin{array}{l}{x=1}\\{y=1}\end{array}\right.$代入方程kx+b=y，得到關(guān)于k、b的方程，解之可得．

解答 解：把$\left\{\begin{array}{l}{x=4}\\{y=-2}\end{array}\right.$與$\left\{\begin{array}{l}{x=1}\\{y=1}\end{array}\right.$代入方程kx+b=y，得：$\left\{\begin{array}{l}{4k+b=-2}\\{k+b=1}\end{array}\right.$，
解得：$\left\{\begin{array}{l}{k=-1}\\{b=2}\end{array}\right.$，
答：k的值為-1，b的值為2．

點(diǎn)評(píng) 本題主要考查二元一次方程組的解和解二元一次方程組的能力，熟練掌握二元一次方程組的解得定義得到關(guān)于k、b的方程組是解題的關(guān)鍵．