Question

How do i know if a system of equation has infinite number of solutions

Answer 1

A system of equations has an infinite number of solutions when after solving the system, you end up with a true statement.

For example, let’s say you solve a system of equations and your result is 5=5. 5=5 is a true statement, but it doesn’t tell us anything about the x or y value solutions to the system. So because we’re only left with 5=5, there are infinite solutions to the system.