An equation can have infinitely many solutions when it should satisfy some conditions. ... In other words, when the two lines are the same line, then the system should have infinite solutions. It means that if the system of equations has an infinite number of solution, then the system is said to be consistent.

Is infinitely many solutions always true?

So far we have looked at equations where there is exactly one solution. ... No solution would mean that there is no answer to the equation. It is impossible for the equation to be true no matter what value we assign to the variable. Infinite solutions would mean that any value for the variable would make the equation true.

What is infinitely many solution?

Having infinitely many solutions means that you couldn't possibly list all the solutions for an equation, because there are infinite. Sometimes that means that every single number is a solution, and sometimes it just means all the numbers that fit a certain pattern.