Two equations are said to be equivalent if they have exactly the same solutions.
Sample Problems
- The equations x = 1 and 2x = 2 are equivalent, since the only solution to either equation is 1.
- The equations 2x = 0 and 3x = 0 are equivalent, since the only solution to either equation is 0.
- The equations x = 1 and x = 2 are not equivalent, since their solutions, 1 and 2, aren't the same.