SOLUTION: could someone please explain how do you know when an equation has an infinite number of solutions? o How do you know when an equation has no solution?

Question 419755: could someone please explain how do you know when an equation has an infinite number of solutions?
o How do you know when an equation has no solution?

Answer by algebrahouse.com(1659) (Show Source): You can put this solution on YOUR website!
"could someone please explain how do you know when an equation has an infinite number of solutions?
o How do you know when an equation has no solution?"

When you are solving a system of equations:

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 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 the two equations would form parallel lines, which never intersect.
www.algebrahouse.com

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