Solving Systems by Graphing

Overview

Goal. Solve a system of two linear equations by graphing both lines, reading their intersection point, and checking that point in both equations.

Solution of a system of linear equations (definition). An ordered pair that makes BOTH equations in the system true at the same time.

Graphing two lines; the intersection is the solution; check in both equations.

Flip through the notes one page at a time using the buttons below.

Watch the lesson video.

Goal. Solve a system of two linear equations by graphing both lines, reading their intersection point, and checking that point in both equations.

Solution of a system of linear equations (definition). An ordered pair that makes BOTH equations in the system true at the same time.

Desmos.

1. Type the equation or function you are working with.

2. Read the graph, the table, or the solution Desmos shows.

3. Compare with your own work before you trust it.

TI-84.

1. Press Y= and enter the left and right sides as Y1 and Y2.

2. Press GRAPH to see both sides.

3. Use 2nd TRACE, then intersect or value, to read the key point.