Question

What is infinitely many solutions?

Answer 1

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.

Explanation:

Answer 2

Explanation:

If you are given two lines and they have the same y intercept and the same slope and you graph them, you will find that they will be one on top of the other thus appearing to be 1 line. Any number will a solution for this condition.

For example,

y = 5x + 8

2y = 10x + 16

The y intercept occurs when x = 0

So both equations give a y intercept of 8

Every value of x that you can think of will give the same y in both equations. Hence there are infinitely many solutions

The x incept occurs when y = 0

x = -8/5 = -1 3/5 or 1.6