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All real numbers occur when you eliminate all variables and are left with two numbers that equal each other. When both equations are equal in value.
ex. 8=8

This solution may arise when both variables equal each other.
ex. 9=4
All real numbers

One solution occurs when you get a coordinate as your answer. The system of equations can ONLY work with that coordinate input into it..
ex. (8,5)
No solution
One solution

Different types of solutions