Systems of Equations

Systems of equations are sets of multiple equations.  When you solve a system of equations, you find where those equations meet (points that both -- of all-- of the equations have in common). 

You can solve systems by graphing them and seeing where the graphs meet.  But, for more precision, it's best to use algebra to solve the systems (either substitution or elimination). 

There are three types of systems of linear equations, those with 1 solution, no solution, or infinte solutions.

When linear equations have one solution, they intersect at one point.  The solution to that system is the point of intersection.

When linear equations have no solution, they are parallel.  They never meet.

When linear equations have infinite solutions, they are the same line.