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113
2
Vivian Quach
1/30/2023
Algebra 1
Linear Systems
A comprehensive guide to solving linear systems using graphing, substitution, and elimination methods. This resource covers the fundamental concepts of linear systems, including consistent independent systems, and provides step-by-step instructions for each solving technique. Students will learn how to graph linear equations, use the elimination method, and apply the substitution method to find solutions efficiently.
1/30/2023
567
The elimination method involves adding or subtracting equations to eliminate one variable, allowing you to solve for the remaining variable.
Steps for the elimination method:
Example: Solving 2x + 3y = 11 and -2x + 5y = 13
Highlight: You can multiply one or both equations by a constant to facilitate elimination.
Vocabulary: Consistent independent systems have exactly one solution, which can be found using the elimination method.
The substitution method involves isolating a variable in one equation and substituting it into the other equation.
Steps for the substitution method:
Example: Solving y = 3x + 2 and x + 2y = 11
Highlight: The substitution method is particularly useful when one equation is already solved for a variable.
Vocabulary: A consistent independent system will have a unique solution that can be found using the substitution method.
4
75
9/10
Simultaneous equations
Simple steps to work out basic simultaneous equations and an example question on next page.
13
1098
11/9
simultaneous equations : elimination
sheet about simultaneous equations : elimination. Has some practice of it with both types - same sign and different sign.
15
423
Solving System of Equations Using Elimination Pt.2
Notes on the lesson
3
139
9th/8th
Algebra Unit 1 Test
algebra 1 test
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Stefan S, iOS User
SuSSan, iOS User
A comprehensive guide to solving linear systems using graphing, substitution, and eliminationmethods. This resource covers the fundamental concepts of linear systems, including consistent independent systems, and provides step-by-step instructions for each solving technique. Students will learn how to graph... Show more
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The elimination method involves adding or subtracting equations to eliminate one variable, allowing you to solve for the remaining variable.
Steps for the elimination method:
Example: Solving 2x + 3y = 11 and -2x + 5y = 13
Highlight: You can multiply one or both equations by a constant to facilitate elimination.
Vocabulary: Consistent independent systems have exactly one solution, which can be found using the elimination method.
Access to all documents
Improve your grades
Join milions of students
By signing up you accept Terms of Service and Privacy Policy
The substitution method involves isolating a variable in one equation and substituting it into the other equation.
Steps for the substitution method:
Example: Solving y = 3x + 2 and x + 2y = 11
Highlight: The substitution method is particularly useful when one equation is already solved for a variable.
Vocabulary: A consistent independent system will have a unique solution that can be found using the substitution method.
Access to all documents
Improve your grades
Join milions of students
By signing up you accept Terms of Service and Privacy Policy
Linear systems consist of two or more linear equations with the same variables. A solution to a linear system is an ordered pair that satisfies all equations in the system. When graphing, the intersection point of the lines represents the solution.
To solve a linear system using the graph and check method:
Definition: A linear system with exactly one solution is called a consistent independent system.
Example: Solving the system -x + y = -7 and x + 4y = -8
Highlight: Always verify the solution by substituting it back into both original equations.
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The app is very easy to use and well designed. I have found everything I was looking for so far and have been able to learn a lot from the presentations! I will definitely use the app for a class assignment! And of course it also helps a lot as an inspiration.
Stefan S
iOS user
This app is really great. There are so many study notes and help [...]. My problem subject is French, for example, and the app has so many options for help. Thanks to this app, I have improved my French. I would recommend it to anyone.
Samantha Klich
Android user
Wow, I am really amazed. I just tried the app because I've seen it advertised many times and was absolutely stunned. This app is THE HELP you want for school and above all, it offers so many things, such as workouts and fact sheets, which have been VERY helpful to me personally.
Anna
iOS user
I think it’s very much worth it and you’ll end up using it a lot once you get the hang of it and even after looking at others notes you can still ask your Artificial intelligence buddy the question and ask to simplify it if you still don’t get it!!! In the end I think it’s worth it 😊👍 ⚠️Also DID I MENTION ITS FREEE YOU DON’T HAVE TO PAY FOR ANYTHING AND STILL GET YOUR GRADES IN PERFECTLY❗️❗️⚠️
Thomas R
iOS user
Knowunity is the BEST app I’ve used in a minute. This is not an ai review or anything this is genuinely coming from a 7th grade student (I know 2011 im young) but dude this app is a 10/10 i have maintained a 3.8 gpa and have plenty of time for gaming. I love it and my mom is just happy I got good grades
Brad T
Android user
Not only did it help me find the answer but it also showed me alternative ways to solve it. I was horrible in math and science but now I have an a in both subjects. Thanks for the help🤍🤍
David K
iOS user
The app's just great! All I have to do is enter the topic in the search bar and I get the response real fast. I don't have to watch 10 YouTube videos to understand something, so I'm saving my time. Highly recommended!
Sudenaz Ocak
Android user
In school I was really bad at maths but thanks to the app, I am doing better now. I am so grateful that you made the app.
Greenlight Bonnie
Android user
I found this app a couple years ago and it has only gotten better since then. I really love it because it can help with written questions and photo questions. Also, it can find study guides that other people have made as well as flashcard sets and practice tests. The free version is also amazing for students who might not be able to afford it. Would 100% recommend
Aubrey
iOS user
Best app if you're in Highschool or Junior high. I have been using this app for 2 school years and it's the best, it's good if you don't have anyone to help you with school work.😋🩷🎀
Marco B
iOS user
THE QUIZES AND FLASHCARDS ARE SO USEFUL AND I LOVE THE SCHOOLGPT. IT ALSO IS LITREALLY LIKE CHATGPT BUT SMARTER!! HELPED ME WITH MY MASCARA PROBLEMS TOO!! AS WELL AS MY REAL SUBJECTS ! DUHHH 😍😁😲🤑💗✨🎀😮
Elisha
iOS user
This app is phenomenal down to the correct info and the various topics you can study! I greatly recommend it for people who struggle with procrastination and those who need homework help. It has been perfectly accurate for world 1 history as far as I’ve seen! Geometry too!
Paul T
iOS user
The app is very easy to use and well designed. I have found everything I was looking for so far and have been able to learn a lot from the presentations! I will definitely use the app for a class assignment! And of course it also helps a lot as an inspiration.
Stefan S
iOS user
This app is really great. There are so many study notes and help [...]. My problem subject is French, for example, and the app has so many options for help. Thanks to this app, I have improved my French. I would recommend it to anyone.
Samantha Klich
Android user
Wow, I am really amazed. I just tried the app because I've seen it advertised many times and was absolutely stunned. This app is THE HELP you want for school and above all, it offers so many things, such as workouts and fact sheets, which have been VERY helpful to me personally.
Anna
iOS user
I think it’s very much worth it and you’ll end up using it a lot once you get the hang of it and even after looking at others notes you can still ask your Artificial intelligence buddy the question and ask to simplify it if you still don’t get it!!! In the end I think it’s worth it 😊👍 ⚠️Also DID I MENTION ITS FREEE YOU DON’T HAVE TO PAY FOR ANYTHING AND STILL GET YOUR GRADES IN PERFECTLY❗️❗️⚠️
Thomas R
iOS user
Knowunity is the BEST app I’ve used in a minute. This is not an ai review or anything this is genuinely coming from a 7th grade student (I know 2011 im young) but dude this app is a 10/10 i have maintained a 3.8 gpa and have plenty of time for gaming. I love it and my mom is just happy I got good grades
Brad T
Android user
Not only did it help me find the answer but it also showed me alternative ways to solve it. I was horrible in math and science but now I have an a in both subjects. Thanks for the help🤍🤍
David K
iOS user
The app's just great! All I have to do is enter the topic in the search bar and I get the response real fast. I don't have to watch 10 YouTube videos to understand something, so I'm saving my time. Highly recommended!
Sudenaz Ocak
Android user
In school I was really bad at maths but thanks to the app, I am doing better now. I am so grateful that you made the app.
Greenlight Bonnie
Android user
I found this app a couple years ago and it has only gotten better since then. I really love it because it can help with written questions and photo questions. Also, it can find study guides that other people have made as well as flashcard sets and practice tests. The free version is also amazing for students who might not be able to afford it. Would 100% recommend
Aubrey
iOS user
Best app if you're in Highschool or Junior high. I have been using this app for 2 school years and it's the best, it's good if you don't have anyone to help you with school work.😋🩷🎀
Marco B
iOS user
THE QUIZES AND FLASHCARDS ARE SO USEFUL AND I LOVE THE SCHOOLGPT. IT ALSO IS LITREALLY LIKE CHATGPT BUT SMARTER!! HELPED ME WITH MY MASCARA PROBLEMS TOO!! AS WELL AS MY REAL SUBJECTS ! DUHHH 😍😁😲🤑💗✨🎀😮
Elisha
iOS user
This app is phenomenal down to the correct info and the various topics you can study! I greatly recommend it for people who struggle with procrastination and those who need homework help. It has been perfectly accurate for world 1 history as far as I’ve seen! Geometry too!
Paul T
iOS user
