One Solution, No Solution, or Infinitely Many Solutions - Consistent & Inconsistent Systems

[@TheOrganicChemistryTutor]

Matrices - Free Formula Sheet: bit.ly/3UE9Cmk Final Exams and Video Playlists: www.video-tutor.net/ Full-Length Videos & Worksheets: www.patreon.com/MathScienceTutor/collections Next Video: kzbin.info/www/bejne/m2OpcnSDoaZ9acU

[@smaransure2234]

ur mom

[@m.hameed518]

Whenever I face trouble with math, I search for the subject, and look specifically for your videos, then I nail 'em. I already loved math, but loved it even more 'cause of you. Keep up the good work!

[@aya15885]

ok

[@nabiie124]

Harsh bro

[@dyzlexickio]

This looks easy but.. My module ain't looking easy

[@lifesucketh4923]

lmao, all of you bot makers, you might as well put a believable name, who tf names his/her child Steven Dexter and Tate Donald? Lmfao

[@absolutelynoone124]

@@lifesucketh4923 at least he ain't named Nick Kerr or Jack Ingof

[@knowledgeispowerofgod]

That's life 2 years ago👻

[@joshuamorgan1876]

​@@knowledgeispowerofgod💀

[@AntonioMcGill-v8m]

@Kiomiluu this is why I'm here 😂

[@lilbunny2147]

DUDE OMG YOUR SO GOOD AT EXPLAINING AND YOUR STRAIGHT TO THE POINT, MEAN WHILE MY TEACHER ON THE OTHER HANDS DOES A LOT OF EXAMPLE BUT HE MAKES IT REALLY HARD FOR US YO UNDERSTAND

[@mahmoudalwafaei6022]

To be honest

[@DefsYT]

Better than 99.9% of the teachers in the world

[@legin8827]

everything in school is useful until highschool which everything becomes difficult and useless to learn

[@healthylettuce1133]

@@DefsYT definitely

[@DefsYT]

@@healthylettuce1133 thx

[@bobbysteakhouse7022]

This is exactly what I was looking for

[@KrispyRice419]

Me too

[@farhankutub6564]

@@KrispyRice419 You and thousands of others this guy really needs a medal for saving our exams

[@theCS07]

Also mee bro

[@dipdip9445]

Dang, I dont pay attention in class for one day and now I'm completely lost, this is helpful though, thanks!

[@georgesadler7830]

MR. Organic Chemistry Tutor, thank you for another solid video/lecture on determining the solution, no solution and many solutions of a linear system.

[@lilm3ko]

Whenever I face trouble with math, I search for the subject, and look specifically for your videos, then I nail 'em.I didn't like math, But loved it cause of you. Keep up the good work fr!

[@liukang6928]

Who else wish math can just go away lol

[@thatguy4363]

You need it so you can know what trajectory to throw your bottles

[@brickyy3106]

Then the universe will break down

[@Honest-King]

Trust me there are more complex things than the "easiest math course ( linear algebra )"

[@ayushsharma913]

Don't say like this broh when I'm trying so hard to learn it, atleast let me get good results in this

[@marcylovesyou6334]

Idon't

[@BlueSpider2099]

U r now my favorite KZbinr

[@akashakhi484]

He is waste

[@marcylovesyou6334]

DAMN YEAH

[@matchan1818]

Yes!

[@1999Supercooldudeman]

The video thumbnail has a slight error, the No Solution and the Many Solution headers should be swapped, if I understand correctly

[@P76-f9w]

Yup

[@Greentealiesel]

I FOUND THIS PICTURE ONLINE AND WAS USING IT AND DIDN'T REALIZE WHY I WAS WRONG THEJDNDNNENENENE

[@Greentealiesel]

Okay you actually saved my life I have a test tomorrow and would have failed if I didn't know that :))

[@aladdin8304]

He did that so people who think they got the idea from the Thumbnail would use it and get it wrong so now they go back and watch the whole video this man is a genius

[@pricholoamodia]

used the thumbnail as a study guide for exams, now im wrong

[@kajiiruyt6955]

Thank u for this I have a test tomorrow on algebra

[@alexamembreno1582]

I have mines in an hour !!

[@zom3508]

Same

[@baharosman1416]

The best way is to write the equations in slope intercept form and then look if they are same( dependent) or having same slope and different intercept(inconsistent) or neither their slope nor their intercept is same(independent)

[@Jamee_Shounen]

You are my savior in my varsity courses. Thank you so much!!

[@-wsg.]

Let's all agree these fellas on youtube teach us better then schools we pay for 👍

[@nexfu]

nice obsession with the lgbtq community

[@liambray8537]

I take an online course and this explained it so much better, especially since my finals are soon! Thank you so so much!

[@malaya3367]

Hello! I was hoping you could help me with something, I am not completely understanding why we multiplied one equation by -2 and not the other, could you explain to me?

[@talha4289]

@@malaya3367u understand yet?

[@malaya3367]

@@talha4289 yep! Thank you

[@Ham1_697]

@@malaya3367 can you please explain why I still didn’t understand 😭

[@malaya3367]

​@@Ham1_697 okay so, one solution is when x, or whatever your variable is, is equal to a number. it will look like this: x=2. This is a one solution because your variable is equal to a number, and your number is equal to a variable. Next, is no solution. No solution is when a number equals a number of a different value. For example: 3=7. 3 has a different value than 7. infinitely many solutions is when both sides of the equation is equal. this can happen like this: 3x + 2 = 2 + 3x, or 1=1.

[@tm-rk5sd]

off topic but your voice is calming

[@JacobHeitmann]

you are the only reason im passing math this year. thx so much for the vids

[@zeusk1317]

Thank you this helped so much I have a test tomorrow and I didn’t know them perfectly but this really really helped Thank you for making this

[@dylancarpio317]

I love you sir, thank you for this great explanation. My math teacher could never

[@meronchanie2944]

me too

[@dylancarpio317]

@@meronchanie2944 glad

[@HIThitech]

I'm taking algebra in 8tj grade so this really helps!

[@xqtvl]

same!

[@urlocalmady]

Same

[@hidan3889]

Same

[@ronankiter8388]

Thank you so much. Helped me study for this test coming up tomorrow morning!

[@cgstesting3182]

did u pass

[@JustDuck04]

Math is killing me

[@tudemaria]

Me:

[@matchan1818]

Before math test: omg I get it! The day of test: Wait... how do u do this again? Thanks for letting me remember... 😊

[@roddiemacinnis7050]

I’m watching this during an online test lmao 😂

[@doreenandrew1101]

I understand very well instead of lecturer you are good teacher

[@SkanCityAcademy_SirJohn]

nice explanation sir, just to draw your attention, that in the thumbnail, you swapped conditions for no solution with that of many solution

[@monatalkasmr2324]

This Channel is everything I need for my graduation ...

[@Alex-ju6hv]

You just saved me with my QM final exam (statistics), now let's get the Linear Algebra exam!!

[@tanvirtomal2748]

Now my all confusions have gone 😅 Love from Bangladesh, Sir 🥰🥰

[@ikramulhaque2552]

You earned a sub. Thank you. May you stay happy.

[@mr.wormo2259]

this man always teaches me i hope this man gets the best wap ever

[@soniyahmanley6163]

This explained it perfectly thank you!

[@angelfranklavarez4635]

Where did you gets that (x-2) and (-2)? Thank you for answering

[@user-jp8cd3br3h]

he didn't answer tho

[@crazy4stayc29]

@@user-jp8cd3br3h in advance LMAOO

[@anshikayadavbhs9802]

3x+2y= 5....(1) 6x+4y= 8......(2) So in order to equate either x or y Multiply (1) by 2 6x+4y= 10 ....(3) Now subtract this newly formed equation (3) with (2) 6x+4y= 8 (-)6x -(4y)= -(10) _________________ 0 + 0. = -2 Here is how you got -2 First you equate the equation and then you add or subtract according to situation in order to cancel either one of variable (x, or y) If both the equation have same sign you subtract And if both have different sign you add Shortcut Same sign - Subtract Different sign- Add (Ask if you have any doubt)

[@vuyombobosi615]

Honestly speaking you make math so easy to understand. Thank you for the great work you are doing in helping us understand this subject. All the best yeah

[@ariana_kristen]

Thank God for making this person... hands-down 🙏🏿 🙌 😌

[@anshikayadavbhs9802]

Thank you ,this was the thing that I searched all Google for but found it here

[@dankmemes4068]

thank you for the video, i have been struggling to figure it out and you explain it perfectly

[@gueenvictoria64]

Great video! I understand. You did my teachers job.

[@mirzaamirah7946]

May god bless your entire life and your entire generation

[@johnfrancis2758]

This was so helpful thank you, Great at explaining

[@f.r.y5857]

thanks a lot sir, you explain it better than in my class

[@yesno5084]

Really helped. Teacher Couldn’t just teach it class.

[@nubking6915]

im a grade 8 student and i absolutely do not listen to math class. my question is, where did you get the X-2 here 5:05 .

[@radioactiveplanet1939]

WHAT A LIFESAVER... you just saved me life buddy!

[@younggoat9846]

Get this man to 3 million right now

[@Dr.midnight-pd1in]

thank you this helped a lot for studying

[@blssompack]

Thank you very much but what about?: -4s+2t-13=0 8s-6t=42

[@arianacao2525]

by the way, the video is good, but the thumbnail is incorrect

[@tapendrabhatt8665]

amazing straight to the point . like the way you are explaning

[@AngelTaylorgang809]

awesome video, main reason i am subscribed to this channel

[@Heera.LLB786]

That's great my concept is cleared now❤❤❤ wao

[@darknessfalls714]

wow you made this is so easy to understand. Thanks man !

[@AlyssaSasser-sr8ke]

This was very helpful; thank you!!

[@reikoahquin4847]

Where are you getting the negative 2 to multiply to the equations. And how do you determine which one to multiply?

[@erica_esor7575]

We r going to find the least common in the multiplication table of 4 and 2 since we want to isolate y. We r going to do : 4,8,12,16 while in table if 2 we got: 2,4,6,8 they both have have four as the last common now multiply by what gives us the fours? We 4x1=4 and 2x2=4 we want one positive y and the other y make it negative so we r going to choose to make x2 a negative so we r going to multiply the second equation with -2 to the whole equation. Got it?

[@erica_esor7575]

Srry it was late but i hope i helped u

[@bandzfn6079]

@@erica_esor7575 but where does the x come from?

[@bandzfn6079]

@@erica_esor7575 and what 4 and 2?

[@anshikayadavbhs9802]

3x+2y= 5....(1) 6x+4y= 8......(2) So in order to equate either x or y Multiply (1) by 2 6x+4y= 10 ....(3) Now subtract this newly formed equation (3) with (2) 6x+4y= 8 (-)6x -(4y)= -(10) _________________ 0 + 0. = -2 Here is how you got -2 First you equate the equation and then you add or subtract according to situation in order to cancel either one of variable (x, or y) If both the equation have same sign you subtract And if both have different sign you add Shortcut Same sign - Subtract Different sign- Add (Ask if you have any doubt)

[@yeetmilk9479]

BROOOOOO U THE BEST ON GOD NO CAP U THE BEST BROOOOO LIKE BRO U GOTTA GIMME GOOD LUCK I GOT A MATH TEST ABOUT THIS TOPIC OF SYSTEM OF EQUATIONS GRAPHINH QUADDRANTS AND STUFF LIKE THAT LIKE SUBSTITUIN AND ELIMINATION BRO AND U CAME CLUTCH MAN ON GO DU THE BEST wwwwwwwwwwwwwwwWWWWWWWWW

[@delailahrose8068]

W

[@supriyobarua266]

Wow after watching this video i have no question about this method thank you so much

[@PrettySweetRose]

I FREACKING LOVE YOU I HAD AN ALGEBRA EXAM HIGH SCHOOL YOUR THE REASON I PASSED sorry for the caps

[@phuongvov5142]

Thanks for this video, easy to learn

[@ErmiasBeyene-tr7ke]

i am gread 8 and i suck at math, but after wathing your vidios my gread is at high score

[@ErmiasBeyene-tr7ke]

nice i love it

[@Revolver-bn1sz]

are you sure it's only math..?

[@efjay0161]

You are 1 trillion times better than my math teacher who drones on and on and on

[@queenapple9012]

Why did you add negative 2? I am so confused but I get your point across.

[@jothamdentyrell6105]

Oh because it's operation is eliminating method

[@encryptedjc1772]

So he could get positives to make it easier. He didn’t add it he multiplied it. x became -2x, 2y -4y, and 4: 8. He then got all the opposites which got him the answer.

[@anshikayadavbhs9802]

3x+2y= 5....(1) 6x+4y= 8......(2) So in order to equate either x or y Multiply (1) by 2 6x+4y= 10 ....(3) Now subtract this newly formed equation (3) with (2) 6x+4y= 8 (-)6x -(4y)= -(10) _________________ 0 + 0. = -2 Here is how you got -2 First you equate the equation and then you add or subtract according to situation in order to cancel either one of variable (x, or y) If both the equation have same sign you subtract And if both have different sign you add Shortcut Same sign - Subtract Different sign- Add (Ask if you have any doubt)

[@ErmiasBeyene-tr7ke]

amazing work

[@Amihad]

I have no words it's better to be silent ❣

[@JM-kl1yg]

Do i always multiply by -2? Edit: nvm I figured it out, thanks so much im subscribed now

[@jacobh3918]

Wait why? I never got it

[@Henrysmith537]

I try to give people the benefit of the doubt, especially teachers because I come from a family full of educators. But my math teacher is shit and your videos help so much, better than khan academy imo. When I’m older and I hope I don’t forget this I would love to leave a tip.

[@malalraoboyanapelli8545]

Thank you sir today I have national exam thank you so much😀😀😊

[@tsukidafrog4384]

I've been struggling with this and now I finally understand. Thankyou!

[@JORGEMOLINA-hi7kn]

Best than my teacher

[@valfredodematteis-poet]

"Let's keep it simple. So, if you have..." One shot. One opportunity...

[@jovanmagtoto1682]

thank you for sir for the short but precise video tutorial

[@bonnadrian5037]

you deserve subscriber

[@damoncain7967]

Thanks for these solutions. I've been looking everywhere

[@davidseed2939]

note that these three cases correspond to. intersecting lines .. one solutiom colinear… many solutions parallel… no solutions graph the three cases to show the point

[@anshikayadavbhs9802]

Thanks

[@thefmdguy1308]

Thank you....I was struggling to identify this but now it is clear...really helped a lot

[@lillian5353]

everyone knows the plug, organic chemistry tutor, our gold mine

[@johnnycoolbeans123]

1:52 is where i got the most info from

[@klinecars7455]

fucking micheal

[@shaniyaleanne1710]

god bless this man 🙏🏽

[@hqs9585]

many solutions is consistent, and... dependent (on what?) 0 = 0, it is consistent, and dependent on what?

[@chimwemwesinkala4402]

This channel has been so helpful.

[@ellarose423]

YOURE A BLESSING

[@tahataufeeq1839]

Man this guy is a life saver!

[@mdfahim8792]

Tnq u very much brother......

[@leonie1874]

Great video, but just to let you know, your thumbnail is incorrect to what you show in your video! The No Solution and Many Solutions are mixed up. ☺

[@alihussainunknown2833]

May you be blessed for this

[@nanaarhin5567]

Does it mean any time we solve and get 0 on the LHS and a negative on the RHS, we label it as no solution?

[@gurnoorshoker78]

Thank you about to pass my math test tmr 😂

[@vinoriawareba9438]

Very helpful 🙏

[@Luke-yh9nm]

Thanks man need a quick review for SAT

[@annoyingprecision2487]

Concise and very well explained. Thank you,

[@jarishangeles1785]

im not good at math thats why i cant even understand how you got the x-2 in 2x + 4y=8 x+y2= 4

[@tiffany5333]

Thank you!

[@atwahaz]

the photo for this video from outside is wrong ur saying the many solution matrix it's inconsistent which is wrong

[@aiza701]

Man solutions also means infinite solutions, correct?

[@chandulathayasarapu7088]

what in the case of linear equation in 3 variables ???????

[@pinkxcloud9899]

POV: your here because your teacher is not good at explaining

[@merraaaaa_]

Correct

[@kim5354]

So yeah I just got 75 on first grading last week.

[@lukehall1790]

For the second and third equation where are you pulling out the -2? Why are we multiplying it by -2 Why is it any different than the first equation. This is what I don't understand.

[@mathswithmohan7646]

@The Organic Chemistry Tutor I have a question here. Regarding the part where you say that the solution is dependent or independent, will you be able to explain in detail why you say if it is independent or dependent?

[@azyle2104]

Let me know when u find out

[@the_shiner6692]

why do we need to multiply it with (-2) ?

[@simhadatiusha9888]

Super explanation sir