Different Types of Solutions for Equations
For instance, the equation X + 1 = X + 5
would be a contradiction
because no value of X will make that equation true.
It would be like saying a zebra is the same thing as a lion.
There can also be equations with infinite solutions, which are called identities.
Anything you plug into these equations will make the equation true.
The equation 2 X + 1 = 2X + 1 is an identity
because it'll always be true for any value of X.
It's like a mirror. Anything placed in front of the mirror will be reflected back.
Conditional equations have a limited number of solutions.
These guys are only true when certain values are plugged in.
The equation 2X = 6 is limited
because it'll only work when X is 3.
No other value will make the equation true.
It'd be like saying only zebras are acceptable for tourists, and no other animals.
The important thing is to find out what type of equation you're facing.
Otherwise, you might get into some trouble.