Visualizing System of Linear Equations with Two Variables #shorts #mathshorts #mathconcepts

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A system of linear equations with two variables is a collection of two or more linear equations usually in standard form. The goal of solving a system of linear equations is to find the values of the variables that simultaneously satisfy all of the equations in the system.

For example, consider the following system of two linear equations:

2x - y = 1
-x + y = 1

The solution to the system of linear equations is x = 2, y = 3, which means that both equations are simultaneously satisfied when x = 2 and y = 3. If the two equations form a parallel line, there is no solution to the system, whereas if the two equations form the same line, there are an infinite number of solutions to the system.

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Or you could say parallel lines intersect at the point at infinity... projective geometry was always confusing for me...

Also, when are you going to post a new video? I've been waiting! Do you need any new ideas for videos?

one_logic