# Solving Systems of Two Equations

Taught by MrRutter
• Currently 2.0/5 Stars.
6537 views | 3 ratings
Part of video series
Meets NCTM Standards:
Lesson Summary:

This lesson introduces the concept of solving systems of two equations by finding where two lines intersect. The lesson covers terminology such as consistent, dependent, and independent and explains how to solve equations by graphing the lines and estimating the point where they cross. The lesson ends with an example problem and a suggestion to check the solution by plugging in the values.

Lesson Description:

A basic introduction to the concept and terminology of solving a system of two equations by finding where two lines intersect with an example.

• How do you solve a system of equations by graphing?
• What is a system of equations?
• How can you find where two lines intersect on a graph?
• What are the 3 possible scenarios for 2 lines crossing in a plane?
• When do you only have one answer to a system of equations?
• When are there no solutions to a system of equations?
• When are there infinitely many solutions to a system of equations?
• What does it mean for a system of equations to be consistent or inconsistent?
• What does it mean for a system of equations to be dependent or independent?
• How do you solve the system of equations x - 2y = 0 and x + y = 6 by graphing?
• How can you check your solution to a system of equations?
• #### Staff Review

• Currently 4.0/5 Stars.
This video goes through all possibilities for two lines running through a plane and what can happen. Terminology is explained for all scenarios. Also, an example problem is worked out and explained.
• #### litlarcher

• Currently 1.0/5 Stars.
There is a glare on the board, making it very difficult to see, and the camera probably needs to zoom in to the board. The sound is quite poor which only adds to the frustration of attempting to follow this lesson.
• #### wandasanchez65

• Currently 1.0/5 Stars.
I cannot read what is on that black board. I saw another teacher use magnetic numbers. Like the one you put on the fridge. And it was better. And a black marker. Not that!