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Intro to Systems of Linear Equations
A system of linear equation or simultaneous equations is when you have more than 1 linear equation. In this course, we will see systems with only 2 linear equations.
What does "Solving a System of Linear Equations" Mean?
Solving a system of linear equations means we want to find both and numbers that "fit" into both equations.
Since linear equations look like straight lines in a graph, we are actually finding the point where the two lines cross over. This is called the point of intersection.
There are a few special cases where the lines do not meet (no solution) or where the lines are the same (many solutions).
Three Ways to Solve a System of Linear Equations
- Graphically
- Substitution
- Elimination