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Equations of the form AX=B

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Algebra I on Khan Academy: Algebra is the language through which we describe patterns. Think of it as a shorthand, of sorts. As opposed to having to do something over and over again, algebra gives you a simple way to express that repetitive process. It's also seen as a "gatekeeper" subject. Once you achieve an understanding of algebra, the higher-level math subjects become accessible to you. Without it, it's impossible to move forward. It's used by people with lots of different jobs, like carpentry, engineering, and fashion design. In these tutorials, we'll cover a lot of ground. Some of the topics include linear equations, linear inequalities, linear functions, systems of equations, factoring expressions, quadratic expressions, exponents, functions, and ratios.

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This lecture is about solving linear equations or how to solve linear equations easily.

To learn more about solving linear equations, watch this animated lecture till the end.

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👉Learn how to solve a system (of equations) by elimination. A system of equations is a set of equations which are collectively satisfied by one solution of the variables. The elimination method of solving a system of equations involves making the coefficient of one of the variables to be equal in all the equations that make up the system, in order to eliminate the variable using subtraction (or addition as the case may be). The coefficients can be made equal by multiplying the entire equation with a number which when multiplied to the coefficient of the variable to be eliminated gives the LCM of the coefficients of the variable to be eliminated in all the equations. Then we solve for the remaining variable(s).

After we have obtained the solution{s} for the remaining variable(s), we substitute the obtained solution into any of the original equations to obtain the solution of the eliminated variable.

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✅Solve a System of Equations Using Substitution | Learn About
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✅Solve a System of Equations Using Elimination | Learn About
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👨‍👩‍👧‍👧 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/

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This video shows you how to solve a linear equation.


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Improved math is a channel created to provide additional instruction on essential math concepts. I’m passionate about math and I know first-hand how important math concepts are in the real world.

Teachers, parents, guardians, homeschoolers, and students can use these videos to help reinforce math skills. These math videos are designed to help teach yourself math or provide self-study math tools to assist when additional instruction is needed. Teaching math and learning math has changed the way many students learn in this virtual environment and during the pandemic. Having on-demand math videos can provide math tutoring needed when children are not able to get help from their teachers after school hours or when trying to do math at home.

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I also have a library of shorter videos (less than 1 minute in length - shorts) that are quick math tips and tricks on basic math topics. Some of these short math help videos include problems that you can work on yourself and submit your answers in the comments. They are all listed under my Math Tips and Tricks playlist.

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Visit mathchops.com to practice the most common math problem types on the SAT and ACT. We pick the best questions for you, based on your previous answers.
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Equations With Fractions Grade 9

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In this video, you'll learn how to solve the given cubic equation by factoring by grouping.

Scientific Calculator Tutorial. AS Maths / GCSE maths - How to use a Casio FX-991EX Classwiz calculator to solve linear simultaneous equations. Ideal for checking answers.

This video covers how to solve medium difficulty algebraic equations, which involve two operations. For example 2x + 3 = 9

This is part 2 of our 3 part series on solving algebraic equations.

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Solving Two-Step Equations | Expressions & Equations | Grade 8

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For a complete lesson on solving polynomial equations, go to https://www.MathHelp.com - 1000+ online math lessons featuring a personal math teacher inside every lesson! In this lesson, students learn that the first step in solving polynomial equations is to set the given equation equal to zero, the next step is to factor, and the final step is to set each of the resulting factors equal to zero and solve each equation. This process usually yields more than one solution, so the answer can be written as a solution set. Some of the problems involve factoring a trinomial into two binomials, and some of the problems involve factoring a binomial as the difference of two squares.

This video demonstrates how to solve a linear equation that contains fractions by multiplying each term by the LCD. This video was created for my community college introductory algebra class.

How to solve equations with brackets or parenthesis using distributive method or another method.

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Solving Two-Step Equations | Expressions & Equations | Grade 7

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Goal: Solve equations by balancing.

MIT grad shows how to use the elimination method to solve a system of linear equations (aka. simultaneous equations). To skip ahead: 1) For a BASIC example where terms cancel right away when you add the equations, skip to 0:25. 2) For an example in which you have to MULTIPLY ONE EQUATION by a number before adding the equations, skip to time 6:26. 3) For an example in which you have to MULTIPLY BOTH EQUATIONS by numbers before adding, skip to 12:12. P.S.) For HOW TO SUBTRACT equations instead of adding them, if you'd rather do that, skip to 18:00. Nancy formerly of MathBFF explains the steps.

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For how to solve a system of linear equations by the SUBSTITUTION METHOD, jump to: https://youtu.be/YriMMWbndn0

What does it mean to solve a system of equations using the elimination method? It means to solve for the x and y values that make both equations true, using the elimination method. Elimination is just one way of solving (substitution is another way) and is sometimes called linear combination. Here's how:

1) BASIC ELIMINATION: First, make sure the equations are ordered in the same way, with their like terms lined up vertically. Then, try adding the equations (vertically) to make a new equation. If a term in the first equation has the same number coefficient but opposite sign (like 5y and -5y), then adding the equations will mean that those terms cancel. Since those terms disappear (in the example, 5y and -5y), there is just the variable x left in the equation so you can solve for x. Once you solve for x, you can take that number and plug it in for x in either of the original equations in the system, to solve for the other variable, y. The (x,y) pair is your solution.

2) MULTIPLY ONE EQUATION BEFORE ADDING: Sometimes terms don't immediately cancel when you add the two equations. What do you do then? Try multiplying one of the equations by a number (both the left and right sides) to make either the x terms or y terms have similar coefficients (but opposite sign), like positive 4x and negative 4x. Then add the two equations (the new version) and follow the same steps as in the first example.

3) MULTIPLY BOTH EQUATIONS BEFORE ADDING: If it does not help to just multiply one equation by a number, you may need to multiply both equations, separately, by numbers. If you check to see whether you can just multiply one equation by a number and add opposite terms/eliminate a variable, and it is not possible, then aim for an LCM, or least common multiple, by multiplying each equation by a different number, and then adding the equations.

P.S.) YES, YOU CAN SUBTRACT INSTEAD (if you want): If you have a system that has the exact same x terms or exact same y terms in both equations, if you prefer, you can just subtract the equations. Alternatively, if you still wanted to add the equations, you could just multiply one of the equations by -1 first and then add the equations and solve normally.

IMPORTANT: If you get something like 0 = 0 or 8 = 8, or something like 1 = 2 or 0 = 21 when you are following these steps and trying to solve, then you have probably found a special case. If you get something TRUE like 0 = 0 (a number equals the same number), then there are an infinite number of solutions to the system, and you can just write "infinitely-many solutions". If instead you get something FALSE like 0 = 21, then there is no solution (inconsistent system), and you can write "no solution".

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