if a, b, and c are three different numbers, which of the following equations has exactly one solution

Question

 ax=bx+c

 

ax+b=ax=b

 

ax+b=ax+c

Answer 1

ax=bx+c  is the equation that has one solution

ax-bx=c

(a-b)x=c

x=c/(a-b)

 

ax+b=ax+b has infinitely many solutions

ax+b-b=ax

ax=ax

x=x

 

ax+b=ax+c

ax-ax+b=c

b=c is a false statement so there are no solutions