Math Doodle - Algebra
Math Doodle - Algebra
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[Bite-Size Guide] Solve the System of Linear Equations by Elimination: 4𝑥 – 3𝑦 = 9 and 7𝑥 + 2𝑦 = –6
This video will guide you through [How to solve the system of linear equations “4𝑥 - 3𝑦 = 9 and 7𝑥 + 2𝑦 = -6" by elimination].
〰️
📌 How to Solve a System of Linear Equations by ELIMINATION
✓ Step 1. Write both equations in standard form. If any coefficients are fractions, clear them.
✓ Step 2. Make the coefficients of one variable opposites.
- Decide which variable you will eliminate.
- Multiply one or both equations so that the coefficients of that variable are opposites.
✓ Step 3. Add the equations resulting from Step 2 to eliminate one variable.
✓ Step 4. Solve for the remaining variable.
✓ Step 5. Substitute the solution from Step 4 into one of the original equations. Then solve for the other variable.
✓ Step 6. Write the solution as an ordered pair.
〰️
✅ More BITE-SIZE VIDEOS on "Solving Systems of Linear Equations by ELIMINATION”
➤ Solve “𝑥 + 𝑦 = 7 and 𝑥 - 𝑦 = 3” by elimination: th-cam.com/video/B2iddixki4U/w-d-xo.html
➤ Solve “2𝑥 + 𝑦 = 7 and 𝑥 - 2𝑦 = 6” by elimination: th-cam.com/video/126V0Yny9tI/w-d-xo.html
➤ Solve “3𝑥 - 2𝑦 = -2 and 5𝑥 - 6𝑦 = 10” by elimination: th-cam.com/video/dA3yJe61aAo/w-d-xo.html
➤ Solve “𝑥 + (1/2)𝑦 = 6 and (3/2)𝑥 + (2/3)𝑦 = (17/2)” by elimination: th-cam.com/video/2Popgoj2kog/w-d-xo.html
➤ Solve “3𝑥 + 4𝑦 = 12 and 𝑦 = 3 - (3/4)𝑥” by elimination: th-cam.com/video/6fVVGWnDA-Q/w-d-xo.html
➤ Solve “-6𝑥 + 15𝑦 = 10 and 2𝑥 - 5𝑦 = -5” by elimination: th-cam.com/video/MS9Ii0jW-LE/w-d-xo.html
🗂 Playlist: “Solving Systems of Linear Equations by GRAPHING” ➜ th-cam.com/play/PLzNv5AZByumtsrai9E6s284nxameldpsz.html
🗂 Playlist: “Solving Systems of Linear Equations by SUBSTITUTION” ➜ th-cam.com/play/PLzNv5AZByumscLfdTuoT4hEjF61vOUEJD.html
🗂 Playlist: “Solving Systems of Linear Equations by ELIMINATION” ➜ th-cam.com/play/PLzNv5AZByumvyiqlzZW_pIOdId4jbtkaJ.html
〰️
✏️ Need FREE MATH HELP? Check out our website on Systems of Linear Equations ➜ math-doodle.com/math-doodle-home/algebra/systems-of-linear-equations/
〰️
▶️ Click Here to Subscribe to our Channel ➜ th-cam.com/channels/OZ_5djoBBMPVF-u0Gw9szw.html
〰️
📖 About Math Doodle: This channel is our effort to support students, teachers, and parents by sharing our tutorial and problem-walkthrough contents that cover a wide range of algebra topics!
🌐 Website: math-doodle.com/
📧 E-mail: info@math-doodle.com
Hopefully, you have found the math help you were looking for! 🙏 Thank you for checking out our videos! 💯
〰️
🌏 Translated titles:
Spanish: Resolver el sistema de ecuaciones lineales por eliminación.
French: Résoudre le système d'équations linéaires par élimination
German: Lösen Sie das lineare Gleichungssystem durch Elimination
Portuguese: Resolva o sistema de equações lineares por eliminação
Hindi: उन्मूलन द्वारा रैखिक समीकरणों की प्रणाली को हल करें
Filipino: Lutasin ang sistema ng mga linear equation sa pamamagitan ng elimination
Indonesian: Selesaikan sistem persamaan linear dengan cara eliminasi
Japanese: 消去法で線形方程式を解く
Russian: Решить систему линейных уравнений методом исключения
Vietnamese: Giải hệ phương trình tuyến tính bằng phương pháp khử
มุมมอง: 8

วีดีโอ

[Bite-Size Guide] Solve the System of Linear Equations by Elimination: 3𝑥 - 2𝑦 = -2 and 5𝑥 - 6𝑦 = 10
มุมมอง 2721 ชั่วโมงที่ผ่านมา
This video will guide you through [How to solve the system of linear equations “3𝑥 - 2𝑦 = -2 and 5𝑥 - 6𝑦 = 10" by elimination]. 〰️ 📌 How to Solve a System of Linear Equations by ELIMINATION ✓ Step 1. Write both equations in standard form. If any coefficients are fractions, clear them. ✓ Step 2. Make the coefficients of one variable opposites. - Decide which variable you will eliminate. - Multip...
[Bite-Size Guide] Solve the System of Linear Equations by Elimination: 2𝑥 + 𝑦 = 7 and 𝑥 - 2𝑦 = 6
มุมมอง 4914 วันที่ผ่านมา
This video will guide you through [How to solve the system of linear equations “2𝑥 𝑦 = 7 and 𝑥 - 2𝑦 = 6" by elimination]. 〰️ 📌 How to Solve a System of Linear Equations by ELIMINATION ✓ Step 1. Write both equations in standard form. If any coefficients are fractions, clear them. ✓ Step 2. Make the coefficients of one variable opposites. - Decide which variable you will eliminate. - Multiply one...
[Bite-Size Guide] Solve the System of Linear Equations by Elimination: 𝑥 + 𝑦 = 7 and 𝑥 - 𝑦 = 3
มุมมอง 6221 วันที่ผ่านมา
This video will guide you through [How to solve the system of linear equations “𝑥 𝑦 = 7 and 𝑥 - 𝑦 = 3" by elimination]. 〰️ 📌 How to Solve a System of Linear Equations by ELIMINATION ✓ Step 1. Write both equations in standard form. If any coefficients are fractions, clear them. ✓ Step 2. Make the coefficients of one variable opposites. - Decide which variable you will eliminate. - Multiply one o...
[Bite-Size Guide] Solve the System of Linear Equations by Substitution ("No Solution")
มุมมอง 34หลายเดือนก่อน
This video will guide you through [How to solve the system of linear equations “5𝑥 - 2𝑦 = -10 and 𝑦 = (5/2)𝑥" by substitution]. 〰️ 📌 How to Solve a System of Linear Equations by SUBSTITUTION ✓ Step 1. Solve one of the equations for either variable. ✓ Step 2. Substitute the expression from Step 1 into the other equation. ✓ Step 3. Solve the resulting equation. ✓ Step 4. Substitute the solution i...
[Bite-Size Guide] Solve the System of Linear Equations by Substitution ("Infinitely Many Solutions")
มุมมอง 46หลายเดือนก่อน
This video will guide you through [How to solve the system of linear equations “𝑥 - 2𝑦 = 1 and 2𝑥 - 4𝑦 = 2" by substitution]. 〰️ 📌 How to Solve a System of Linear Equations by SUBSTITUTION ✓ Step 1. Solve one of the equations for either variable. ✓ Step 2. Substitute the expression from Step 1 into the other equation. ✓ Step 3. Solve the resulting equation. ✓ Step 4. Substitute the solution in ...
[Bite-Size Guide] Solve the System of Linear Equations by Substitution: -2𝑥 + 𝑦 = 2 and 6𝑥 - 𝑦 = 6
มุมมอง 29หลายเดือนก่อน
This video will guide you through [How to solve the system of linear equations “-2𝑥 𝑦 = 2 and 6𝑥 - 𝑦 = 6" by substitution]. 〰️ 📌 How to Solve a System of Linear Equations by SUBSTITUTION ✓ Step 1. Solve one of the equations for either variable. ✓ Step 2. Substitute the expression from Step 1 into the other equation. ✓ Step 3. Solve the resulting equation. ✓ Step 4. Substitute the solution in St...
[Bite-Size Guide] Solve the System of Linear Equations by Substitution: 𝑦 = -2𝑥 + 5 and 𝑦 = (1/2)𝑥
มุมมอง 33หลายเดือนก่อน
This video will guide you through [How to solve the system of linear equations “𝑦 = -2𝑥 5 and 𝑦 = (1/2)𝑥" by substitution]. 〰️ 📌 How to Solve a System of Linear Equations by SUBSTITUTION ✓ Step 1. Solve one of the equations for either variable. ✓ Step 2. Substitute the expression from Step 1 into the other equation. ✓ Step 3. Solve the resulting equation. ✓ Step 4. Substitute the solution in St...
[Bite-Size Guide] Solve the System of Linear Equations by Substitution: 𝑥 - 2𝑦 = -2 and 3𝑥 + 2𝑦 = 2
มุมมอง 50หลายเดือนก่อน
This video will guide you through [How to solve the system of linear equations “𝑥 - 2𝑦 = -2 and 3𝑥 2𝑦 = 2" by substitution]. 〰️ 📌 How to Solve a System of Linear Equations by SUBSTITUTION ✓ Step 1. Solve one of the equations for either variable. ✓ Step 2. Substitute the expression from Step 1 into the other equation. ✓ Step 3. Solve the resulting equation. ✓ Step 4. Substitute the solution in S...
[Bite-Size Guide] Solve the System of Linear Equations by Substitution: 3𝑥 + 𝑦 = 5 and 𝑥 + 2𝑦 = -5
มุมมอง 36หลายเดือนก่อน
This video will guide you through [How to solve the system of linear equations “3𝑥 𝑦 = 5 and 𝑥 2𝑦 = -5" by substitution]. 〰️ 📌 How to Solve a System of Linear Equations by SUBSTITUTION ✓ Step 1. Solve one of the equations for either variable. ✓ Step 2. Substitute the expression from Step 1 into the other equation. ✓ Step 3. Solve the resulting equation. ✓ Step 4. Substitute the solution in Step...
[Bite-Size Guide] Solve the System of Linear Equations by Substitution: 2𝑥 + 𝑦 = 7 and 𝑥 - 2𝑦 = 6
มุมมอง 1012 หลายเดือนก่อน
This video will guide you through [How to solve the system of linear equations “2𝑥 𝑦 = 7 and 𝑥 - 2𝑦 = 6" by substitution]. 〰️ 📌 How to Solve a System of Linear Equations by SUBSTITUTION ✓ Step 1. Solve one of the equations for either variable. ✓ Step 2. Substitute the expression from Step 1 into the other equation. ✓ Step 3. Solve the resulting equation. ✓ Step 4. Substitute the solution in Ste...
[Bite-Size Guide] Solve the System of Linear Equations by Substitution: 𝑥 + 𝑦 = -1 and 𝑦 = 𝑥 + 5
มุมมอง 512 หลายเดือนก่อน
This video will guide you through [How to solve the system of linear equations “𝑥 𝑦 = -1 and 𝑦 = 𝑥 5" by substitution]. 〰️ 📌 How to Solve a System of Linear Equations by SUBSTITUTION ✓ Step 1. Solve one of the equations for either variable. ✓ Step 2. Substitute the expression from Step 1 into the other equation. ✓ Step 3. Solve the resulting equation. ✓ Step 4. Substitute the solution in Step 3...
[Bite-Size Guide] Solve the System of Linear Equations by Graphing ("Infinitely Many Solutions")
มุมมอง 182 หลายเดือนก่อน
This video will guide you through [How to solve the system of linear equations “𝑦 = 2𝑥 - 3 and -6𝑥 3𝑦 = -9" by graphing]. 〰️ 📌 How to Solve a System of Linear Equations by GRAPHING ✓ Step 1. Graph the first equation. ✓ Step 2. Graph the second equation on the same rectangular coordinate system. ✓ Step 3. Determine whether the lines intersect, are parallel, or are the same line. ✓ Step 4. Identi...
[Bite-Size Guide] Solve the System of Linear Equations by Graphing ("No Solution")
มุมมอง 162 หลายเดือนก่อน
This video will guide you through [How to solve the system of linear equations “𝑦 = 2𝑥 - 3 and 𝑦 = 2𝑥 - 1" by graphing]. 〰️ 📌 How to Solve a System of Linear Equations by GRAPHING ✓ Step 1. Graph the first equation. ✓ Step 2. Graph the second equation on the same rectangular coordinate system. ✓ Step 3. Determine whether the lines intersect, are parallel, or are the same line. ✓ Step 4. Identif...
[Bite-Size Guide] Solve the System of Linear Equations by Graphing: 2𝑥 + 3𝑦 = 9 and 𝑦 = 1
มุมมอง 493 หลายเดือนก่อน
This video will guide you through [How to solve the system of linear equations “2𝑥 3𝑦 = 9 and 𝑦 = 1" by graphing]. 〰️ 📌 How to Solve a System of Linear Equations by GRAPHING ✓ Step 1. Graph the first equation. ✓ Step 2. Graph the second equation on the same rectangular coordinate system. ✓ Step 3. Determine whether the lines intersect, are parallel, or are the same line. ✓ Step 4. Identify the ...
[Bite-Size Guide] Solve the System of Linear Equations by Graphing: 𝑥 + 𝑦 = 2 and 𝑥 - 𝑦 = 4
มุมมอง 253 หลายเดือนก่อน
[Bite-Size Guide] Solve the System of Linear Equations by Graphing: 𝑥 𝑦 = 2 and 𝑥 - 𝑦 = 4
[Bite-Size Guide] Solve the System of Linear Equations by Graphing: 3𝑥 + 𝑦 = -1 and 2𝑥 + 𝑦 = 0
มุมมอง 953 หลายเดือนก่อน
[Bite-Size Guide] Solve the System of Linear Equations by Graphing: 3𝑥 𝑦 = -1 and 2𝑥 𝑦 = 0
[Bite-Size Guide] Solve the System of Linear Equations by Graphing: 𝑦 = -2𝑥 + 2 and 𝑦 = (1/2)𝑥 - 3
มุมมอง 433 หลายเดือนก่อน
[Bite-Size Guide] Solve the System of Linear Equations by Graphing: 𝑦 = -2𝑥 2 and 𝑦 = (1/2)𝑥 - 3
[Bite-Size Guide] Solve the System of Linear Equations by Graphing: 𝑦 = 2𝑥 + 1 and 𝑦 = 4𝑥 - 1
มุมมอง 964 หลายเดือนก่อน
[Bite-Size Guide] Solve the System of Linear Equations by Graphing: 𝑦 = 2𝑥 1 and 𝑦 = 4𝑥 - 1
[Bite-Size Guide] Find an equation of a line that contains the points (3, 4) and (5, 6) | Algebra
มุมมอง 354 หลายเดือนก่อน
[Bite-Size Guide] Find an equation of a line that contains the points (3, 4) and (5, 6) | Algebra
[Bite-Size Guide] Find an equation of a line perpendicular to 𝑦 = -4 that contains the point (-4, 2)
มุมมอง 264 หลายเดือนก่อน
[Bite-Size Guide] Find an equation of a line perpendicular to 𝑦 = -4 that contains the point (-4, 2)
[Bite-Size Guide] Find an equation of a line perpendicular to 𝑦=2𝑥-3 that contains the point (-2, 1)
มุมมอง 564 หลายเดือนก่อน
[Bite-Size Guide] Find an equation of a line perpendicular to 𝑦=2𝑥-3 that contains the point (-2, 1)
[Bite-Size Guide] Find an equation of a line parallel to 𝑦 = 2𝑥 - 3 that contains the point (-2, 1)
มุมมอง 1525 หลายเดือนก่อน
[Bite-Size Guide] Find an equation of a line parallel to 𝑦 = 2𝑥 - 3 that contains the point (-2, 1)
[Bite-Size Guide] Find an equation of a horizontal line that contains the point (-1, 2) | Algebra
มุมมอง 575 หลายเดือนก่อน
[Bite-Size Guide] Find an equation of a horizontal line that contains the point (-1, 2) | Algebra
[Bite-Size Guide] Find an equation of a line with slope 𝑚 = -1/3 that contains the point (6, -4)
มุมมอง 565 หลายเดือนก่อน
[Bite-Size Guide] Find an equation of a line with slope 𝑚 = -1/3 that contains the point (6, -4)
[Bite-Size Guide] Find an equation of a line with slope 3 that contains the point (-1, 2) | Algebra
มุมมอง 425 หลายเดือนก่อน
[Bite-Size Guide] Find an equation of a line with slope 3 that contains the point (-1, 2) | Algebra
[Bite-Size Guide] Find an equation of a line with slope 3 and 𝑦-intercept (0, -1) | Algebra
มุมมอง 865 หลายเดือนก่อน
[Bite-Size Guide] Find an equation of a line with slope 3 and 𝑦-intercept (0, -1) | Algebra
[Bite-Size Guide] Are the Lines “𝑥 - 5𝑦 = 5” and “𝑦 = -5𝑥 + 4” Parallel or Perpendicular? | Algebra
มุมมอง 335 หลายเดือนก่อน
[Bite-Size Guide] Are the Lines “𝑥 - 5𝑦 = 5” and “𝑦 = -5𝑥 4” Parallel or Perpendicular? | Algebra
[Bite-Size Guide] Are the Lines “𝑦 = -2𝑥 + 2” and “𝑦 = (1/2)𝑥 - 1” Parallel or Perpendicular?
มุมมอง 415 หลายเดือนก่อน
[Bite-Size Guide] Are the Lines “𝑦 = -2𝑥 2” and “𝑦 = (1/2)𝑥 - 1” Parallel or Perpendicular?
[Bite-Size Guide] Are the Lines “-6𝑥 + 3𝑦 = -9” and “𝑦 = 2𝑥 - 3” Parallel or Perpendicular?
มุมมอง 365 หลายเดือนก่อน
[Bite-Size Guide] Are the Lines “-6𝑥 3𝑦 = -9” and “𝑦 = 2𝑥 - 3” Parallel or Perpendicular?

ความคิดเห็น

  • @MorningDewd1973
    @MorningDewd1973 2 หลายเดือนก่อน

    -1 +\- 2_/26 / 3 _/26 = square root 26 At least that’s what I came up.

  • @Lorenz73916
    @Lorenz73916 2 หลายเดือนก่อน

    This really helpful

  • @harrymatabal8448
    @harrymatabal8448 3 หลายเดือนก่อน

    Yes

  • @ShobhaSingh-eh8ok
    @ShobhaSingh-eh8ok 3 หลายเดือนก่อน

    THANKS

  • @Bobomurod85
    @Bobomurod85 5 หลายเดือนก่อน

    Thank

  • @AmirgabYT2185
    @AmirgabYT2185 5 หลายเดือนก่อน

    -1/3+i√26/3; -1/3-i√26/3

  • @SadikshyaBhandari-bo5du
    @SadikshyaBhandari-bo5du 5 หลายเดือนก่อน

    Thank you 🎉😊

  • @charlesokuom8747
    @charlesokuom8747 6 หลายเดือนก่อน

    Well solved

  • @MaddipatlaGaggaiahnaidu
    @MaddipatlaGaggaiahnaidu 6 หลายเดือนก่อน

    2x-3y=5 solve this please

  • @siddappakarihole6070
    @siddappakarihole6070 7 หลายเดือนก่อน

    Thank you

  • @joso5554
    @joso5554 7 หลายเดือนก่อน

    This is ridiculously obvious.

  • @joso5554
    @joso5554 7 หลายเดือนก่อน

    Why not just x-intercept and y-intercept ? It’s so much simpler !!

  • @ganeshdas3174
    @ganeshdas3174 7 หลายเดือนก่อน

    In both the equations gradient is zero. Hence,they are parallel.

  • @farjanajahan3222
    @farjanajahan3222 7 หลายเดือนก่อน

    (x+12)(x+4)

    • @bsamrat3820
      @bsamrat3820 7 หลายเดือนก่อน

      (x-4)(x+12) = 0

  • @THall-vi8cp
    @THall-vi8cp 8 หลายเดือนก่อน

    Interesting. I was never taught to substitute zero for the variables. Instead, we were taught to arbitrarily plug a value into x and solve for y, then plug a different value into x and solve for y again, then graph the line and find the x- and y-intercepts. I suppose using zero for either would have been much faster.

  • @MrMousley
    @MrMousley 8 หลายเดือนก่อน

    5x^2 - 13x = 7x I'm going to say ''Let's just divide everything by x'' 5x - 13 = 7 and now add 13 to both sides 5x = 20 and now divide everything by 5 x = 4

  • @MrMousley
    @MrMousley 8 หลายเดือนก่อน

    I managed to solve this without actually doing that much. x^2 + 2x - 8 = 0 so .. x^2 + 2x = 8 and then it just looks obvious that x = 2 because that makes ^2 and 2x the same thing .. 4 and 4 + 4 = 8 However .. If you take x^2 + 2x - 8 = 0 you can take that 'back' to (x - 2)(x + 4) = 0 which means that either x - 2 or x + 4 is 0 x - 2 = 0 means that x = 2 x + 4 = 0 means that x could also be - 4

  • @pessicamerawawa
    @pessicamerawawa 9 หลายเดือนก่อน

    Thx so much😊

  • @javeedaminnaik1665
    @javeedaminnaik1665 10 หลายเดือนก่อน

    What a teaching man I got it what I want to now ❤😊thanks alot sir_ 😊

  • @shidaparveen2233
    @shidaparveen2233 10 หลายเดือนก่อน

    2ײ-8×-42

  • @subratamondal6424
    @subratamondal6424 11 หลายเดือนก่อน

    Thanks Thank you very much

  • @nicholasngo5428
    @nicholasngo5428 ปีที่แล้ว

    x=1

  • @BankoleQuadri-yg5ge
    @BankoleQuadri-yg5ge ปีที่แล้ว

    Thanks

  • @jeevithanirmala5704
    @jeevithanirmala5704 ปีที่แล้ว

    Add

  • @JV2009XD
    @JV2009XD ปีที่แล้ว

    Comprobación por favor?

  • @vaishnavichaurasia1926
    @vaishnavichaurasia1926 ปีที่แล้ว

    U are amazing but please also try to make in hindi...

  • @averellrios4511
    @averellrios4511 ปีที่แล้ว

    ✌️ 'Promosm'

  • @ganda3454
    @ganda3454 ปีที่แล้ว

    (x-1)(x-5) x=1 dan x=5

  • @inderjeetsingh1965
    @inderjeetsingh1965 ปีที่แล้ว

    Very nice sir keep it up

  • @ganda3454
    @ganda3454 ปีที่แล้ว

    2√3xy √12xy

  • @pro-qn7yf
    @pro-qn7yf ปีที่แล้ว

    Thank u sir It's good to see u updated even after low views

  • @pro-qn7yf
    @pro-qn7yf ปีที่แล้ว

    Great video as well as explanation sir 👍

  • @NurHadi-qf9kl
    @NurHadi-qf9kl ปีที่แล้ว

    (11x+7)(11x-7y)

  • @NurHadi-qf9kl
    @NurHadi-qf9kl ปีที่แล้ว

    (8y+1)(8y-1)

  • @Bati2
    @Bati2 ปีที่แล้ว

    cool

  • @Vidit740
    @Vidit740 ปีที่แล้ว

    Thanks

  • @Zerox78609
    @Zerox78609 ปีที่แล้ว

    It's very easy

  • @joramarentved
    @joramarentved ปีที่แล้ว

    Your 'm- & n' are, 7- & 4, respectively.

  • @hassanabbasbukhari7255
    @hassanabbasbukhari7255 ปีที่แล้ว

    Good luck for the channel hope you succeed ../❤

  • @arunarun3352
    @arunarun3352 ปีที่แล้ว

    Puriyala 🙄🙄🙄 Thu thu nalavai ella

  • @shadowassasin907
    @shadowassasin907 ปีที่แล้ว

    Bro is this kinder Sheesh

  • @outside2659
    @outside2659 ปีที่แล้ว

    Thank you soo much sir! U keep growing,✌️

  • @steven351
    @steven351 ปีที่แล้ว

    ᵖʳᵒᵐᵒˢᵐ 👊