1. Solving Systems of Linear Equations
Adapted from Walch Education

2. Solving Systems of Equations by Graphing
Graphing a system of equations on the same coordinate plane allows you to visualize the solution to the system.
Use a table of values, the slope-intercept form of the equations (y = mx + b), or a graphing calculator.
The point of intersection is the solution to the system.
Graphs of systems with one solution have two intersecting lines. These systems are considered consistent, or having at least one solution, and are also independent, meaning there is exactly one solution.

3. Key Concepts, continued
Graphs of systems with no solution have parallel lines There are no points that satisfy both of the equations These systems are referred to as inconsistent.
Systems with an infinite number of solutions are equations of the same line—the lines for the equations in the system overlap. These are referred to as dependent and also consistent, having at least one solution.

4. Key Concepts, continued
Intersecting Lines
Parallel Lines
Same Line
One solution
No solutions
Infinitely many solutions
Consistent
Independent
Inconsistent
Dependent

5. Thanks for Watching !!!!!
~ Dr. Dambreville