How to Solve a System of Equations by Graphing
Learn the process of solving a system of equations by graphing, which involves finding the common x and y values that satisfy all equations in the system.

Brian McLogan
941.4K views • Sep 27, 2012

About this video
👉To solve a system of equations means to obtain a common x-value and a common y-value that makes the each of the equation in the system true. To solve a system of equations by graphing means to obtain the point of intersection (if any) of the graphs of each of the equation that make up the system. To graph a linear equation, we set the equation in the slope-intercept form and then graph the intercept and obtain the line using the slope.
The point of intersection of the graphs of the equations that make up the system is the solution to the system of equations.
✅ Solve a System by Substitution - https://youtu.be/-mZZ6iPwQpE
Timestamps:
0:00 Intro
0:44 Start of Problem
Corrections:
4:09 I graphed it incorrectly. Intersection point is at (-2, -5)
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Organized Videos:
✅Solve a System of Equations by Graphing
https://www.youtube.com/playlist?list=PL0G-Nd0V5ZMpPA7qhUEkbUWKREBAvfiER
✅Solve a System of Equations by Graphing | Learn About
https://www.youtube.com/playlist?list=PL0G-Nd0V5ZMqoOoYcfGo2dSonpvUGAfYR
✅Solve a System of Equations by Graphing | Mixed Forms
https://www.youtube.com/playlist?list=PL0G-Nd0V5ZMoxxlWahdS8WhwNqjyYlgBq
✅Solve a System of Equations by Graphing | Standard Form
https://www.youtube.com/playlist?list=PL0G-Nd0V5ZMrG6Kem_BXiaSTRgzbflbwU
✅Solve a System of Equations by Graphing | Slope Intercept
https://www.youtube.com/playlist?list=PL0G-Nd0V5ZMphlj10xZ25Hhy8eB5lsATF
🗂️ Organized playlists by classes here: https://www.youtube.com/user/MrBrianMcLogan/playlists
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👨🏫 Current Courses on Udemy: https://www.udemy.com/user/brianmclogan2/
👨👩👧👧 About Me: I make short, to-the-point online math tutorials. I struggled with math growing up and have been able to use those experiences to help students improve in math through practical applications and tips. Find more here: https://www.freemathvideos.com/about-me/
#systemofequations #graphing #brianmclogan
The point of intersection of the graphs of the equations that make up the system is the solution to the system of equations.
✅ Solve a System by Substitution - https://youtu.be/-mZZ6iPwQpE
Timestamps:
0:00 Intro
0:44 Start of Problem
Corrections:
4:09 I graphed it incorrectly. Intersection point is at (-2, -5)
👏SUBSCRIBE to my channel here: https://www.youtube.com/user/mrbrianmclogan?sub_confirmation=1
❤️Support my channel by becoming a member: https://www.youtube.com/channel/UCQv3dpUXUWvDFQarHrS5P9A/join
🙋♂️Have questions? Ask here: https://forms.gle/dfR9HbCu6qpWbJdo7
🎉Upcoming Livestreams: https://www.youtube.com/user/MrBrianMcLogan/community
Organized Videos:
✅Solve a System of Equations by Graphing
https://www.youtube.com/playlist?list=PL0G-Nd0V5ZMpPA7qhUEkbUWKREBAvfiER
✅Solve a System of Equations by Graphing | Learn About
https://www.youtube.com/playlist?list=PL0G-Nd0V5ZMqoOoYcfGo2dSonpvUGAfYR
✅Solve a System of Equations by Graphing | Mixed Forms
https://www.youtube.com/playlist?list=PL0G-Nd0V5ZMoxxlWahdS8WhwNqjyYlgBq
✅Solve a System of Equations by Graphing | Standard Form
https://www.youtube.com/playlist?list=PL0G-Nd0V5ZMrG6Kem_BXiaSTRgzbflbwU
✅Solve a System of Equations by Graphing | Slope Intercept
https://www.youtube.com/playlist?list=PL0G-Nd0V5ZMphlj10xZ25Hhy8eB5lsATF
🗂️ Organized playlists by classes here: https://www.youtube.com/user/MrBrianMcLogan/playlists
🌐 My Website - http://www.freemathvideos.com
Connect with me:
⚡️Facebook - https://www.facebook.com/freemathvideos
⚡️Instagram - https://www.instagram.com/brianmclogan/
⚡️Twitter - https://twitter.com/mrbrianmclogan
⚡️Linkedin - https://www.linkedin.com/in/brian-mclogan-16b43623/
👨🏫 Current Courses on Udemy: https://www.udemy.com/user/brianmclogan2/
👨👩👧👧 About Me: I make short, to-the-point online math tutorials. I struggled with math growing up and have been able to use those experiences to help students improve in math through practical applications and tips. Find more here: https://www.freemathvideos.com/about-me/
#systemofequations #graphing #brianmclogan
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Video Information
Views
941.4K
Likes
10.9K
Duration
5:06
Published
Sep 27, 2012
User Reviews
4.6
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