Wednesday, March 23, 2016

High School Math Solutions – Systems of Equations Calculator, Elimination

A system of equations is a collection of two or more equations with the same set of variables. In this blog post, we will be focusing on a system of linear equations. A system of linear equations is a collection of two or more linear equations with the same set of variables, meaning the variables are only to the first power and there are no products of variables. There are a couple ways to solve a system of linear equations, but in this blog post we will focus on one method, elimination.


Goal: Eliminate variables until there is one left. How?
  1. Multiply equation by a constant (not zero)
  2. Add/subtract equations together
  3. Plug the calculated value of variable in one of the equations to find value of other variable
  4. Double check your work by plugging the values back into the equation

Tips for 3 equations with 3 variables: 
  1. Eliminate x’s first from the 2nd and 3rd equation
  2. Eliminate y in 3rd equation


It’s easier to visually understand elimination. We will go through one example step by step.

Here’s an example (click here):
5x+3y=7
3x-5y=-23
1. Multiply top equation by 3 and the bottom equation by 5
3(5x+3y=7)
5(3x-5y=-23)
To get:
15x+9y=21
15x-25y=-115

2. Subtract
\:\:\quad 15x+9y=21
-     \underline{15x-25y=-115}
\:\:\quad 34y=136
3. Solve for y
34y=136
y=4
4. Plug and chug to get x
5x+3(4)=7
x=-1
5. Double check
3(-1)-5(4)=-23


Here’s another example with two equations (click here):




Here’s an example of three equations with three variables (click here):




*Remember to use the tips for solving this type of system of linear equations!

Solving a system of equations using elimination is pretty simple. Keep your work clean, double check your work for small errors, and practice a couple problems. Elimination is a very popular method to solve systems of linear equations before learning about matrices, so it is important to practice it.

Until next time,

Leah

41 comments:

  1. I think there's something more to add. No harm will be done, if you will check out this blog entry, guys, I think this info is really important.

    ReplyDelete
  2. Michel las is a team manager of Showbox and it is an app which we can watch unlimited movies for free

    ReplyDelete
  3. Nice Blog! Experience the Best Assignment Writing Services at
    Essay Help

    ReplyDelete
  4. This content is very good. Thank you for this great website.

    คาสิโนออนไลน์ที่น่าเชื่อถือและมีความเป็นมืออาชีพที่สุดในตอนนี้
    โปรโมชั่นGclub ของทางทีมงานตอนนี้แจกฟรีโบนัส 50%
    เพียงแค่คุณสมัคร สล็อตออนไลน์ กับทางทีมงานของเราเพียงเท่านั้น
    ร่วมมาเป็นส่วนหนึ่งกับเว็บไซต์คาสิโนออนไลน์ของเราได้เลยค่ะ
    สมัครสล็อตออนไลน์ >>> Goldenslot
    สนใจร่วมสนุกกับ คาสิโนออนไลน์ คลิ๊กได้เลย
    มีทั้งคาสิโนออนไลน์ หวยออนไลน์ ฟุตบอลออนไลน์ สล็อตออนไลน์ และอื่นๆอีกมากมาย

    ReplyDelete
  5. Our Legitimate Essay Writing Service are unique and written from scratch. To ensure you that each Research Paper Services completed are non-plagiarized, we provide free plagiarism reports for each document upon the client’s request.

    ReplyDelete
  6. That's quite interesting. Lottery sambad night game play three times in a day. People in India love to play and try their luck to win the huge amount.

    ReplyDelete
  7. Sambad lottery now becomes one of the most popular lottery systems in India. The lucky draw of this lottery took place three times a day. This is also one of the reasons which make Sambad popular.
    Lottery Sambad Evening
    lottery sambad evening result

    ReplyDelete
  8. This comment has been removed by the author.

    ReplyDelete
  9. thanks for adding high school math solutions and updating here,,
    you can check a daily updates of PCSO Lotto Daily updates...
    PCSO Lotto Results | PCSO Lotto Result

    ReplyDelete
  10. Thanks for viewing up such wonderful information. I like this post, keep writing and give a useful post. The participants are advised to cross-check the winning lottery sambad numbers with the result published in the Nagaland Government Gazette.
    Lottery Sambad Result

    ReplyDelete
  11. This is a free way to know about the name of the person who won the prizes. Online website update result of Sambad at 11 AM, 4 PM and 8 PM daily to keep their visitor up to date about the latest result.

    west Bengal state lottery result

    Nagaland State Lottery

    ReplyDelete
  12. Sea fish commonly maintained are ikan nemo this fish is very easy to find especially now that nemo fish is available which is cultivated as freshwater fish so you don't have to worry about replacing water with sea water but you can use fresh water and nemo fish can survive too.

    ReplyDelete
  13. http://batakobatam.com/ batako batam is the best building material and is good for your home

    ReplyDelete
  14. you can additionally watch stay draw of west Bengal State lottery results on youtube.com’s “expensive lottery end result” YouTube channel this lottery sambad 4 pm result among 4 pm and 4.15pm in the evening.

    ReplyDelete
  15. To access your paystub online, go to www.SecuritasEpay.com, or to access by telephone, call 866-604-EPAY (3729). When prompted, enter your social security number (no dashes) and your PIN

    ReplyDelete
  16. The 2019 Sambad lottery is also one of the luckiest years for you. Also, Get your prize and check your chance to win the lottery. Also, As you recognize, measure several prizes and the draw has survived every day. Stay tuned to view and upload the 2019 Sambad Lottery results here.

    ReplyDelete
  17. ketika pria sudah tidak bisa lagi memberi kepuasan maka yang dikhawatirkan wanita akan merasakan kebosanan jika kejadian seperti itu tidak segera diatasi, oleh karena itu levitra asli 100 mg cod bandung bisa menjadi solusi pasutri yang ingin mencapai kepuasan dalam bercinta. levitra asli 100 mg cod di jakarta barat adalah tablet mungil yang berasal dari bayer sangat bermanfaat bagi pria yang ingin memperbaiki ereksi agar bisa mencapai klimaks baca disini . wanita butuh hubungan yang lama agar libidonya bisa terangsang sampai puncak klimaks. procomil spray sangat cocok untuk mengatasi ejakulasi dini pria ketika sedang berhubungan badan. vitamale adalah obat kuat bpom yang dibuat diindonesia berguna untuk memelihara stamina pria agar tetap kuat saat diranjang klik web . banyak pria yang mencari vimax spray untuk memuaskan pasangan mereka supaya tidak cepat keluar sperma waktu sedang berhubungan.

    ReplyDelete
  18. The Dhankesari dhankesari lottery is one of India’s largest lotteries that is most popular in West Bengal Sikkim Nagaland, in this state.

    ReplyDelete
  19. Sambad lottery system is one of the oldest and trustworthy lottery systems in all states of India. Unlike, other lotteries, people choose sambad lottery system. Therefore, the number of lottery tickets are sold out every day. Thus, people spend money on tickets and expect to win cash prizes through these lucky draws
    LOTTERY SAMBAD RESULT TODAY . Lottery Sambad Night Result . LOTTERY SAMBAD RESULTS . lottery sambad Morning 2020

    ReplyDelete
  20. Thanks Admin for that work. Visitors may also like Pinoy teleserye To watch Free Online . So stay with Us to watch in HQ result Pinoy tv shows.

    ReplyDelete
  21. Hotstar is India's largest premium streaming platform with more than 100000 hours of drama and movies
    hotstar download

    download hotstar serials

    hotstar app download apk

    ReplyDelete