Elimination Method - Solving Systems of Equations │Algebra

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This algebra math tutorial explains how to solve systems of linear equations by elimination method. It covers a range of examples, including systems of equations involving fractions, as well as those with infinitely many solutions or no solution. It also shows how to verify/check the solution.
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#systemsofequations
#eliminationmethod
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1 окт 2024

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Комментарии : 36

@gotutormaths 6 месяцев назад

Graphing method 👉 ru-vid.com/video/%D0%B2%D0%B8%D0%B4%D0%B5%D0%BE-SoVUECpWkKc.html Substitution method 👉 ru-vid.com/video/%D0%B2%D0%B8%D0%B4%D0%B5%D0%BE-8ZzFBp3FPEg.html

@cintyameiladewi3513 15 дней назад

I want to ask, why is C multiplied by negative 4?

@gotutormaths 12 дней назад

@@cintyameiladewi3513 We decided to eliminate the Y variable, right? The coefficient of the Y variable in the first equation is 8 and in the second equation is 6. The least common multiple of 8 and 6 is 24 (3 x 8 = 24 and 4 x 6 = 24). Therefore, we can make the coefficients of Y opposites by multiplying the first equation by 3 and the second equation by -4, or by multiplying the first equation by -3 and the second equation by 4. In both cases, the coefficients of Y become opposites, and when adding the two equations, the Y variable is eliminated. Please let me know if you need further clarification.

@marksmith1805 11 месяцев назад

Wow, this video was a game-changer for me! The way you explained made it crystal clear and easy to understand. Your step-by-step approach, starting from simple examples and gradually increasing the complexity, was incredibly helpful. I learned so much from each example, and by the end of the video, I felt like I had a solid understanding. It's obvious that you put a lot of effort into creating this tutorial, and it's greatly appreciated. I now feel much more confident in my ability to tackle these equations. Thank you and keep up the excellent work!

@SofiaMwanza-b9p 18 часов назад

Nice teachings,I have really been understood 😮

@joseoscar3265 7 месяцев назад

this is what I need it. there are some good in teaching but you are the one that step by step open path into my head, I'm understanding and learning so well and clear with you.

@SofiaMwanza-b9p 18 часов назад

Really nice teachings 😮😮

@SofiaMwanza-b9p 18 часов назад

Really nice teachings 😮😮

@martinmasemola4674 5 месяцев назад

❤❤❤u made it look easy

@giannir7377 3 месяца назад

thank you so so much, you have no idea how much you just saved butt, thank you.

@alimamybangura1399 2 месяца назад

😄😀😀😄😄🌻🌹🌻

@MrIbrahimabutouq 8 месяцев назад

The best i have ever seen...simplicity, clearance and neat

@EricaMoore-pg9uf 5 месяцев назад

Thanks, appreciated

@raizatarusanembalzado26 5 месяцев назад

Cool!

@zufansebhatlab 8 месяцев назад

Thank you so much

@samsonwanyoike6959 6 месяцев назад

Good job❤

@CHIAERNESTINEKUOKUO 6 месяцев назад

Na so teacher get sense 😮❤

@JacobBelleh Месяц назад

I love your way of reaching

@talagaba1828 20 дней назад

Where di you get 3 and -4 on 5:52 ?

@CB-vm2nr 5 месяцев назад

Great video. Im a little slow. Can you explain c a little more for me? How come you multiple by 3 and -4? I am sorry

@gotutormaths 5 месяцев назад

We decided to eliminate the Y variable, right? The coefficient of the Y variable in the first equation is 8 and in the second equation is 6. The least common multiple of 8 and 6 is 24 (3 x 8 = 24 and 4 x 6 = 24). Therefore, we can make the coefficients of Y opposites by multiplying the first equation by 3 and the second equation by -4, or by multiplying the first equation by -3 and the second equation by 4. In both cases, the coefficients of Y become opposites, and when adding the two equations, the Y variable is eliminated. Please let me know if you need further clarification.

@sssssunyy 3 месяца назад

@@gotutormathswhy is 4 negative though?

@wOu_fAn333 Месяц назад

@@sssssunyyI think it's because 6y is down, so 4 becomes -4

@AgnesMaekopo 3 месяца назад

Thanks, that fantastic🎉❤

@Sweetlemon-u5s 6 месяцев назад

Is it possible to solve problem D with the substitution method?

@gotutormaths 6 месяцев назад

Yes it is possible. Please check out problem B in the substitution method video ru-vid.com/video/%D0%B2%D0%B8%D0%B4%D0%B5%D0%BE-8ZzFBp3FPEg.html

@wOu_fAn333 Месяц назад

On D Why do I need to multiply the 2nd equation by -3? And how did you get -3

@gotutormaths 26 дней назад

Q: Why do I need to multiply the 2nd equation by -3? A: We want to eliminate the Y variable. In the first equation, the coefficient of Y is 3, and in the second equation, it’s 1. To cancel out the Y's when we add the two equations, their coefficients must be opposites. So, we multiply the second equation by -3, turning the 1 in front of the Y into a -3. Now, when we add the equations, the Y-terms cancel out because 3Y + (−3Y) = 0. Q:And how did you get -3? A: To decide the number to multiply by, we find the least common multiple (LCM) of the two coefficients. The LCM of 3 and 1 is 3. But to eliminate the Y-terms, we want their coefficients to be opposites. Since the first equation already has a 3, we need the second equation to have -3. So, we multiply the second equation by -3 to make the coefficients opposites. Let me know if you need further clarification.

@wOu_fAn333 26 дней назад

@@gotutormaths Thank You so much this helped

@mehrankhan6658 4 месяца назад

😮 thank you

@JEPHTHARMWIMI 2 месяца назад

what do you use to create tutorials kindly help me

@TurkishCypriot 3 месяца назад

7:00 why did you choose second equation instead first equation? 9:28 why did you choose second equation instead first equation again? I still cant understand

@gotutormaths 3 месяца назад

Why did you choose the second equation instead of the first equation? It is because the coefficients in the second equation are smaller numbers compared to those in the first equation. It is easier and faster to work with smaller numbers. However, you can also use the first equation and you will get the same answer. Why did you choose the second equation instead of the first equation again? It is because Y is already isolated in the second equation, so you can find it with fewer steps and save time. If you use the first equation, you will get the same answer but it will take more time as you need to do more steps.