# What if the elimination method results in 0=0?

##### 2 Answers
Oct 25, 2014

If you end with $0 = 0$, then it means that the left-hand side and the right-hand side of the equation are equal to each other regardless of the values of the variables involved; therefore, its solution set is all real numbers for each variable.

I hope that this was helpful.

Oct 25, 2014

Assuming you did the elimination right, you are most likely dealing with the same equation, though the other equation is scaled by a factor.