between "infinite solutions" and "no solution"?

If the variables disappear, and you get a statement that is always true, such as 0 = 0 or 3 = 3,

then there are "infinite solutions", meaning, when graphed, the two equations would form the same line

If the variables disappear, and you get a statement that is never true, such as 0 = 5 or 4 = 7

then there is "no solution", meaning, when graphed, the two equations would form parallel lines, which never intersect.

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