When solving a system of two linear equations, what is the difference
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. Ask Algebra House
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