Explain what it means when a system has infinite solutions. Give at least two equations for this system. Show by any method why your equations represent a system with infinite solutions

Respuesta :

A system has infinite solutions if the graphs of the equations intercept at infinite points.

When we have a system with infinite solutions?

The solutions of a system of equations are given by the intersection between the graphs of the two equations.

So, if the graphs intercept at infinite points, we will have infinite solutions.

That is the case of the systems where both equations represent actually the same function, for example:

y = 4x + 2

2y = 8x + 4

Notice that these two equations actually represent the same line, so the equations intercept at infinite points, then that system has infinite solutions.

If you want to learn more about systems of equations:

https://brainly.com/question/13729904

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