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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 xx and yy numbers that "fit" into both equations.

Since linear equations look like straight lines in a graph, we are actually finding the point (x, y)\left(x,\ y\right) 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

  1. Graphically
  2. Substitution
  3. Elimination