Systems of Equations (All three methods)

A set of two or more equations with the same variables that are solved together.

The lines represented by the equations are parallel and never intersect.

The lines represented by the equations are the same line.

A method where one equation is solved for one variable, and that expression is substituted into the other equation.

A method where equations are added or subtracted to eliminate one variable, making it easier to solve for the other.

Use the form y = mx + b, where m is the slope and b is the y-intercept.

The slope (m) is the ratio of the rise (change in y) over the run (change in x) between two points on the line.

Set x = 0 in the equation and solve for y.

The graphical representation consists of lines on a coordinate plane, where the solution is the point(s) of intersection.

The system of equations has one unique solution.