Algebra - Solving Linear Equations by using the Gauss-Jordan Elimination Method 1/2

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In this lecture series I'll show you how to solve for multiple variables simultaneously using the technique called: the Gauss-Jordan Method of Elimination
Problem Text:
2x - y = 18
3x + y = 2

[@foxface7938]

Sir, you are my hero, I have been stuck on these problems for hours, no one has explained it step by step in the manner you have, thank you from the depths of my frazzled brain!

[@MichelvanBiezen]

Glad we were able to help. Keep it going.

[@suzannew1993]

THANK YOU! Because of you I will be getting my 15 marks!

[@joelle6214]

Thank you so much! You’ve explained it step by step and it has helped me greatly! THANK YOU!

[@MichelvanBiezen]

Glad it helped! Welcome to the channel!

[@Velas99]

Much easier than my professor! Thank you!!

[@MichelvanBiezen]

Glad to hear that!

[@montyferguson4657]

For two equations I'd probably use either substitution method or addition method. 2x-y=18 3x+y=2 -------------- sub 2x-(-3x+2)=18 5x-2=18 5x=20 X=4 Plug 4 into x in either equation 3(4)+y=2 12+y=2 y=-10 {4,-10}

[@angeliasanders7911]

You made it so much easier to understand, thank you!

[@christiancolon9070]

Thank you!! Top notch teaching skills!!

[@billquinn556]

THANK YOU, THANK YOU, THANK YOU !!!!!!!!!!!!!!!

[@MichelvanBiezen]

You are welcome. Glad you found our videos. 🙂

[@albertyeung5787]

very clear explanation

[@MichelvanBiezen]

Glad you think so!

[@244aburahaf]

Thank you give you wellness

[@aram5642]

At the very beginning, where you need to turn 2 into 1, could you as well subtract 1 from R1 instead of dividing by 2? Is the sequence (R1C1, R2C1, R2C2 and then R1C2) fixed or can you go in any order?

[@MichelvanBiezen]

The goal is to make the diagonals 1 and the other cells 0. You start with the 1st column, then the 2nd column, etc. In each column first make the diagonal element zero and then the rest of the elements in the column zero.

[@aram5642]

@@MichelvanBiezen Alright, thanks. Asking because I noticed in several videos that you seem to always go counter-clockwise, so just wanted to make sure. :)

[@hannacleargatelamalate9393]

Thank you so much Michel!

[@MichelvanBiezen]

You are welcome. Glad you find these videos useful Hanna. 🙂

[@osinachiaugustine9863]

You are good sir

[@MichelvanBiezen]

Glad it was helpful. 🙂

[@mariumhabib7209]

it got so easyy thankss

[@sulaimanhayat1055]

love your Tekhneeks man

[@LuisVivar]

Thank you!

[@yelmashibru4284]

i wann know more pls help

[@Respectthewilderness]

it is pronounced teknik not technik