Infinite Solution Definition Math
Definition of infinite infinite is something that becomes large beyond bound.
Infinite solution definition math. It is denoted by the letter. Math explained in easy language plus puzzles games quizzes videos and worksheets. Unique solution one solution no solution. An infinite solution means that are an infinite number of values that are solutions.
Depending on the number of equations and variables there are three types of solutions to an equation. The first is when we have what is called infinite solutions. For example 6x 2y 8 12x 4y 16. Then there is no solution meaning when graphed the two equations would form parallel lines which never intersect.
Equations with infinite solutions. Infinite represents limitless or unboundedness. This happens when all numbers are solutions. If the variables disappear and you get a statement that is never true such as 0 5 or 4 7.
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. This situation means that there is no one solution. For k 12 kids teachers and parents. If you simplify the equation using an infinite solutions formula or method you ll get both sides equal hence it is an infinite solution.
An infinite solution has both sides equal. As you can see the final row of the row reduced matrix consists of 0.