# How do you know if a solution is "no solution" or "infinite" when using the substitution method?

##### 1 Answer

For an answer to have an infinite solution, the two equations when you solve will equal

Here is a problem that has an infinite number of solutions.

If you solve this your answer would be

For an answer to have no solution both answers would not equal each other.

Here is a problem that has no solution.

Again, if you solve this your answer would be