Question

已知x-1是方程m(x-3)=3(x+m)的解,则m的值为

Answer 1

x-1是方程m(x-3)=3(x+m)的解

所以有m(x-3)-3(x+m)=0

且m(x-1-3)=3(x-1+m)

m(x-3)-m=3(x+m)-3

m(x-3)-3(x+m)=m-3

因为

m(x-3)-3(x+m)=0

所以

m-3=0

即m=3