已知关于x,y的二元一次方程y=kx+b的解为x=3,y=4和x=—1y=2,求k,b的值,当x=2,求y,当x为何值时,y=3
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把 x = 3 ,y = 4 和 x = -1 ,y = 2 代入得:
3k + b = 4
-k + b = 2
解得:k = 0.5b = 2.5所以 y = 0.5x + 2.5
把 x = 2 代入 y = 0.5x + 2.5 得 :
y = 3.5把 y = 3 代入 y = 0.5x + 2.5 得:
3 = 0.5x + 2.5
x = 1综上:k = 0.5b = 2.5当 x = 2 时 ,y = 3.5
当 y = 3 时 ,x = 1