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Consistent Independent, Dependent and Inconsistent

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Learn about whether a system of linear equations is consistent independent, consistent dependent or inconsistent in this free math video tutorial by Mario's Math Tutoring. We go through a couple different ways to solve these three examples.
0:16 Three Things that Can Occur with 2 Lines in a Plane
0:45 Definition of Inconsistent with Diagram
0:57 Definition of Consistent Independent and Consistent Dependent with Diagrams
1:27 Example 1 Rewriting the Equations into Slope Intercept Form
2:09 Second Method of Solving Using Substitution
2:39 Example 2 Rewriting the Equations into Slope Intercept Form
3:16 Substitution Method and How to Identify that it Is Consistent Dependent
4:07 Example 3 Showing Consistent Independent
4:46 Using Substitution Method to Show Consistent Independent
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Опубликовано:

24 авг 2024

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Комментарии : 124

@MariosMathTutoring 7 лет назад

mariosmathtutoring.teachable.com/p/learn-algebra-1-video-course Check out my Learn Algebra 1 Video Course for sale. I teach you chapter by chapter and section by section. There are 87 video lessons and over 11 hours of video. For less than the price of a private tutoring session you have lifetime access to the course and can work through it at your own pace. Check out the 13 free lessons (1 from each chapter) at the link above. - Mario

@milanatarasova5588 5 лет назад

Mario's Math Tutoring thank you!

@sultanmahmud7029 4 года назад

Thank you i understood and enjoyed the video very much.

@MariosMathTutoring 4 года назад

You’re welcome Mahmud!

@finlaybaines3312 5 лет назад

Thanks, I am just cramming before a test next block and this helped sooooo much

@MariosMathTutoring 5 лет назад

Glad my video helped you Finlay!

@smirkykiller9486 3 года назад

@@gabbygabs8271 The guy that commented is Finlay

@benthebloon9588 4 года назад

I love how this guy responded to every comment on this vid it’s so sweet 😊

@oat6984 3 года назад

BESIDES YOURS LMAOOOOOO

@smirk4554 3 года назад

@@oat6984HAHAHAH WAS GONNA COMMENT THE SAME

@eehub6710 4 года назад

You are a great teacher ❤️, you explained the concepts so beautifully ,keep making more videos,may God bless you with lots of happiness 😊🙏

@MariosMathTutoring 4 года назад

Thank you for your kind words. Glad my videos are helping you.

@RagedN1 2 года назад

Thank you so much for this video, I understood this better than my own math teacher. Maybe because I wasn't paying attention in class.

@jesteramogus2186 2 года назад

Lol same

@yaweli2968 4 года назад

Omg you are too good. This is even no brainer with geometric interpretation. It’s so so complex with Professors who can’t teach.

@MariosMathTutoring 4 года назад

Glad you liked the way I presented this video Yaw Eli!

@salemisjuucy 3 года назад

dude, you explained this way better than my teacher lmao, thanks.

@mealinavlogss 2 месяца назад

made 7 years ago, but still very beneficial. Thank you so much, better lesson than aleks!!

@jingjabanes9736 3 года назад

Bruhh. I Just Skipped 19 Math Modules. because I dont Understand the Topic. But When i Saw This Vid. My Brain Instantly Fixed Itself. Ur A Good Teacher TBH.

@ops_sah105 3 года назад

I’m late , but this helped me so much. Thank you

@camaluck678 5 лет назад

Studying for my end of year final, 20% of my overall grade. Thanks!

@MariosMathTutoring 5 лет назад

You’re welcome! Good luck on your final!

@camaluck678 5 лет назад

Mario's Math Tutoring Thank you.

@providence3977 3 года назад

How did you do?

@camaluck678 3 года назад

It was quite a while ago so I don't remember the exact grade, but I believe I got a B.

@providence3977 3 года назад

@@camaluck678 Nice! :)

@ytclippedshawnn1088 Год назад

Learned in less than 3 minutes ty

@Navek1977 3 года назад

Thank you so much for this. Well-spoken, a great display of the explanation on the board, and straight to the point.

@tymccauley8653 3 года назад

Wonderful video very helpful for my intermediate algebra college class thank you sir

@bibeksssyadav1014 6 лет назад

Thank you sir

@MariosMathTutoring 6 лет назад

Your welcome!

@bhargavrailguru1818 Год назад

thank u sir for the explanation from india bengaluru

@MariosMathTutoring Год назад

You're most welcome!

@steph3470 4 года назад

I understand you better than my math teacher lmaoo thanks, mister

@MariosMathTutoring 4 года назад

Glad my videos are helping you Camzi!

@rajeshwari152 3 года назад

Super sir...I really understood😍it in easy way

@andreavincent4619 4 года назад

Wow!! Thank you so much!!!. You explained it very well.

@MariosMathTutoring 4 года назад

Glad you liked the video Andrea!

@krishnamarichetty101 5 лет назад

I have a placement exam coming up, so thanks for your help

@MariosMathTutoring 5 лет назад

You’re welcome Krishna! Good luck on your placement exam!

@mm61777 Год назад

Thank you so much! You explained everything perfectly! Thank u!!!

@brandencolie1356 3 года назад

beautiful explanation :)

@yousefisahuman8610 3 года назад

THANK YOU I AM SAVED!!!

@warriorskitcat3859 8 месяцев назад

WOOOPERR

@xeiisbusy 5 месяцев назад

2:00 but i thoughr you were suppose to multiply not add it? That's what my teacher thought us and im confused

@Manichandan022 3 года назад

Thanks for helping ❤️

@anwari03 Год назад

Thank you Dr.

@TheHiroClaw123 2 года назад

I wonder why they named them as such? I like to think of it this way: Say we have two equations that are literally the same equation Maybe they're rearranged, maybe not. And they are two lines of a system. AKA on a graph, these two lines intersect infinitely because they are the same line. Thus, their EXISTENCE is DEPENDENT. Because one line exists due to the other. However, when we have parallel lines or 2 lines that intersect once, we have two SEPARATE lines that EXIST separately and are considered as such. So, we can call them two INDEPENDENT lines. These independent lines can either intersect once or not at all. If they intersect all the time, they're basically the same line, and are no longer independent, therefore dependent. If they intersect once, we can say they HAVE one solution. These two equations in this system HAS one solution. Hence, the system CONSISTS of a solution. Hence, CONSISTENT. If they have no solutions, AKA parallel lines, they DO NOT CONSIST of a solution. Hence, INCONSISTENT. math terminology is weird

@firedropper 7 месяцев назад

this is such a good explanation dude thanks

@theblarneystone1023 2 года назад

this video really did explain the concept clearly. Thank you.

@crazygur1y Год назад

I appreciate this video

@henry6871 4 года назад

Very clear and concise explanation. Thank you, sir

@MariosMathTutoring 4 года назад

You’re welcome Esteban! Glad you liked the video!

@aadityamaharaj4082 3 года назад

Love it Sir

@colagirl1793 3 года назад

I literally can't thank you enough

@prabeshbhattarai4210 11 месяцев назад

Thanks man Good job

@MariosMathTutoring 11 месяцев назад

Glad it helped

@user-kn8xj8td2k 5 месяцев назад

Thanks so much!!

@MariosMathTutoring 5 месяцев назад

You're welcome!

@whitneycarpenter691 3 года назад

Very helpful! Thank you!

@shasiyashasiya9605 4 года назад

very very very ..nice ,,,,,,,,,,,good video///

@MariosMathTutoring 4 года назад

Thanks Shasiya!

@manishadwivedi4005 2 года назад

Thanku soo much sir for such nice explanation..

@leatampis2908 3 года назад

Omay gash this video help me thank you so much

@vikaspal2486 3 года назад

Anyone from India

@hqs9585 2 года назад

What is it meant but independent and dependent??? in your examples

@lilyang5861 2 года назад

Write a system of equations that are consistent and independent that passes through point ( 6, -11)

@Johnwilliams-th9hq 4 года назад

You just explained in five minutes what my techers took 1:30 to do

@MariosMathTutoring 4 года назад

Glad my video helped you quickly understand this concept John!

@jaybeo9144 4 года назад

Thank you this was very helpful🙏🙏🙏

@MariosMathTutoring 4 года назад

Glad my video helped you Jaybeo!

@angelobello3892 2 года назад

Thank you sor

@satim-fiream9146 4 года назад

WOW THIS IS EASY YOU MADE IS SO MUCH EASY!!!!!!!!!! MY TEACHER WAS SO CONFUSING AND DRAWING LINES EVERYWHERE AND I WAS LIKE "WHATS GOING ON" BUT NNOW I GET IT!!!!! THANK YOU SO MUCH!!!!! MATH IS FUN IF YOU MAKE IT EASY HAHAHHA THATS WHAT MY TEAACHER BE SAYIN

@MariosMathTutoring 4 года назад

Glad my video helped you understand this concept more easily!

@i9xp 4 года назад

OH MY GOOOOOOD THANK YOU SO MUCH

@MariosMathTutoring 4 года назад

You’re welcome!

@Weekendwitrahul 2 года назад

I really dont know, why do we call them consistent or inconsistent aprat from their solution what the reallogic behind the us eof this word

@truetalk5753 4 года назад

this is a good video

@MariosMathTutoring 4 года назад

Thanks True Talk!

@izumikyouka1645 4 года назад

at 2:11 he said add -1 both sides so 5x plus -1 equals 5??

@paulaberi2132 3 года назад

Not sure if you ever got your doubt sorted out, but by that he meant to add 1 to the negative one on the left side of the equal sign and add one on the right, so that way you get rid of the negative one on the left (leaving you with 5x) and on the other side you get 13.

@mizukiyamada2371 3 года назад

Thanks it helped :D

@ani8662 4 года назад

amazing help! thanks

@MariosMathTutoring 4 года назад

You’re welcome Ani!

@luislora2544 3 года назад

i love it but it's soo fast HAHAHAHAH

@iivector8994 3 года назад

thank you so much

@JahanAcademy 4 года назад

very nice

@MariosMathTutoring 4 года назад

Thanks!

@cr4nch.557 4 года назад

Exam tomorrow and im not going to fail even im not very smart...

@plthaploo7629 3 года назад

Sir i have a question that are intersecting lines and coincident lines both consistent??!!

@burpie3258 5 лет назад

Thank you!

@MariosMathTutoring 5 лет назад

You’re welcome burpie!

@zachhenry9575 5 лет назад

Test tomorrow hope it goes well 😬

@MariosMathTutoring 5 лет назад

Good luck on the test Zach!

@Joe_lawexy 4 года назад

thank you.

@MariosMathTutoring 4 года назад

You’re welcome Joseph!

@enithnaivy4280 3 года назад

Would parallel lines be dependent or independent?

@madamtirkulon3344 3 года назад

Hi, can you help me to my math??

@SAGARTWR786 5 лет назад

I still don't get it why lines having one solution are independent and lines having many solution are dependent. Also if I am not wrong lines having no solution are independent. Could you please explain me with some example?

@MariosMathTutoring 5 лет назад

Sagar, linear systems are either consistent meaning they have a solution (one point of intersection is referred to as consistent independent...infinite solutions (meaning the two lines are the same) is referred to as consistent dependent). Parallel lines have no common points of intersection and are referred to as inconsistent. Hope that helps you!

@fishyfishyfishy500akabs8 6 лет назад

thank you

@MariosMathTutoring 6 лет назад

Your welcome!

@isabellag9692 5 лет назад

much appreciated

@MariosMathTutoring 5 лет назад

You’re welcome!

@nirmaldeshprabhu4905 5 лет назад

U just made it crystal clear.. Thankz a ton😊✌️

@MariosMathTutoring 5 лет назад

Glad my video helped clear things up Nirmal!

@roxannedesjarlais8989 5 лет назад

how do you write the ordered pairs when they are dependent??

@MariosMathTutoring 5 лет назад

Good question...when they are dependent it means that both equations represent the same line which means that every point on the line is a solution of the system...most of the time you can just say infinitely many solutions or you can say consistent dependent...hope that helps!