ONLY a few steps to solve this algebra equation…

How to solve a linear equation with fractions.
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[@gavindeane3670]

You're absolutely right to point out that we don't need to worry about variables on the left and numbers on the right. But honestly - there's no "double work" to get it like that if you happen to want to. There's no work at all! Just write the thing as 29 + 3m/4 = 17 and go from there!

[@btpcmsag]

I was thinking the same. Flipping the whole equation ought to be a skill that reinforces the concept of the equals sign being the fulcrum.

[@btpcmsag]

He managed to solve a 2-step equation in only 5 steps! Wait. Why is it a "2-step" then? Where it says, "Only a Few Steps to Solve," it means Only a Few More Than Two Steps to Solve! John mentions 3 times getting all the variables on the left side, which takes another step or three, but then works the whole thing with the m on the RIGHT side (?) John says his lowest common denominator is "one" then immediately writes it down as 4. 7:20 John's teeter totter fulcrum ought to be under the equal sign, not under the 29, as shown. He draws it there, erases it, draws it there again, erases it again, and draws and erases it there twice more, so it's not excusable to say it 4 times when it's wrong. This makes the 29 look like it's the fulcrum, confusiing the learners.

[@twentyrothmans7308]

Thank you, TCM. This one's straightforward, but that's expected, as I read first year Maths at University. The subjects you cover that I love are the ones I've forgotten, playing around with square roots, for example. And to any of you high school/college pupils - practice, practice, practice.

[@MrMousley]

17 = 29 + 3m/4 subtract 29 from both sides 1 - 12 = 3m/4 multiply both sides by 4 2 - 48 = 3m divide both sides by 3 3 - 16 = m THREE STEPS

[@thomasharding1838]

YES!!! THREE !!! Unless you spontaneously KNOW that 4/3 of -12 is -16 without doing the multiplying and dividing in your head. What if it had been -102 instead of -12??

[@dlkline27]

I can't believe I figured this one out in my head. This 85 year old brain is still in great condition. Eat your heart out Brandon.

[@birdieh1716]

Well done. I did the same. I think it has something to do with the fact that we were taught well in our generation. I’m 61 and I have really enjoyed revisiting algebra after so many years. Let’s keep practising and learning. Never too old to learn.

[@dlkline27]

@@birdieh1716 😄😄😄😄😄

[@totwisted]

If the school system would have teachers like you, students would not struggle in math. Step-by-step made easy

[@Kleermaker1000]

You see in a second that 3m/4 has to be -12. So m is a negative number: 3m/4 = - 12 => m => 4/3 x - 12 = - 16. This time no need to find the LCD. :)

[@Ayelmar]

At the title card, m = -16 0) 17 = 29 + 3m / 4 {starting position) 1) -12 = 3m / 4 (subtract the 29 from both sides) 2) -16 = m (divide both sides by 3/4 (or multiply by 4/3, either way works!)

[@aryusure1943]

I took a short cut after getting rid of 29. I came up with -12 = 3m/4 and used the cross product to isolate m. -12 times 4 = 3m times 1 or -48 = 3m. Dividing both sides by 3 I got the solution: minus 16 = m Thanks for reminding us that 3m/ 4 is the same as 3/4m. I would have followed your path if I had this in mind.

[@MargaretCutt-um8iq]

similar method. knew it needed to be negative... what divided by 4 = 12... then made that negative...lol similar process but that is how my brain works...lol

[@jebbrown5961]

A=B B=A You can always rewrite equations if that seems easier for any reason.

[@Dethneko]

Been a while since I've done one of these, but if I remember correctly, since the division comes first, then you will multiply first to isolate the m, giving us an end result of (4(17))/3 - 29 = m. -> 68/3 - 29 = m -> 68/3 - (3(29)/3 =m ->(68 - 87) / 3 = m -> -87 + 7 + 60 + 1 = -80 + 60 + 1 = -20 + 1 = -19 = m -> m = -19 Edit: Ah, so it's more a reverse PEMDAS (or SA DM E P if you will) when moving things over. I moved over the 4/3 first originally.

[@GaryBricaultLive]

Another problem turned into a vastly more complex solution than necessary. The straight line approach to solving problems is to simplify as you work. 1. Rewrite the equation to place the variable to be solved on the left hand side where it belongs. 29 + (3m/4) = 17 2. Subtract 29 from both sides 29 - 29 + (3m/4) = 17 - 29 (3m/4) = -12 3. Multiply both sides by 4 to eliminate the fraction term. (3m/4) X 4 = -12 X 4 3m = -48 4. Divide both sides 3 by 3 to produce the final result 3m / 3 = -48 / 3 m = -16

[@thomasharding1838]

THREE STEPS: 1: subtract 29 from both side 2: Multiply both side by 4 3: Divide both sides by 3. And the important thing is "All numbers on ONE SIDE and all unknowns on the OTHER." Left or right does not matter.

[@bobhenson1433]

You have refreshed my math knowledge sufficiently to do problems like this in my head in a few seconds.

[@ChoiLanLeung]

17-29=3m/4 -12=3m/4 -12÷3×4=m -16=m

[@btpcmsag]

Error! Should have -12 ÷ (3/4) = m Or else -12 × (4/3) = m

[@seibertmccormick184]

Thanks. I needed that.

[@alcoholfree6381]

Yeah I got it!! Your teaching is great; I’m a 70 year old retired neurosurgeon who hasn’t worked these FUN BRAIN STRETCHES FOR OVER 50 YEARS! I’m substitute teaching at present and sometimes get to teach MATH! I tell the kids that they need to get smarter every day and that requires Reading, Writing, and Arithmetic; the “Three Rs”! I also tell them: “Make it fun, make it a game, shoot for Straight As! Shoot High, Aim for lofty goals, aim for the Stars!” Thanks for your fun teaching.

[@MarcelDekker-il3vw]

good training. to keep brains running. Thanks for that. I guess its like this reset to 17= 29 + x . X= 29-17 X= -12 come to M? M = 4*--12/3 ( guess -16.. Now watch this vide0 to learn 2 things. Am I right.. an what is the way to solve this.

[@petert9749]

A great channel, but I don't always agree with you; and that's good, and I am prob. wrong. A bloke's place is in the wrong. That line at the 15 minute mark : 4(17 = 29+ 3m/4) Less confusing to say we have to multiply both sides of the equation by 4 LHS = RHS Multiply both sides by 4 4 x the LHS = 4x the RHS 4(17) = 4x (29+3m/4) We have activated the distributive law as on the RHS we have mixed x / with + - 4x RHS is 29+3m 29+3m 29+3m 29+3m It's four of the things! = 4x29 + 4x3m Including Robert Record's = sign in the brackets confuses the meaning of what an equation is. It has a Left Hand Side and a Right Hand Side with an 'is the same as' sign in the middle. There are two groups, not one, and brackets are about groups; thinking of them as denoting one number sometimes helps. Record made his sign as it is because he could not think of two things more the same as each other than two long straight lines. The Group on the Left is numerically the same as the Group on the Right. To bracket the whole equation blasts the whole concept to pieces. We don't need brackets on the LHS as our group is a simple number represented by a simple numeral. What thinkest thou? Mate: you have sent me to the peppermints. And I deserve a Koala stamp for wrestling with this keyboard.

[@melissalevine2373]

Sub 29 from both sides. -12=3m divided by 4.muly both sides by 4

[@ahbghab2535]

Thanks for giving me a new skill. You are a champion. Kudus to you.😅

[@ezofrez]

1} subtract 29 from both sides 2} multiply both sides x 4 3} divide both sides by 3

[@slshusker]

Is there any other way to quickly solve this equation!

[@chestermarcol3831]

At the point: -12 = 3m/4 why wouldnt you multiply both sides by 4, and then divide both sides by 3?

[@raya.pawley3563]

Thank you

[@vespa2860]

Thanks for clarification about V=N N=V I was beginning to think it must be a US thing for reasons beyond me.

[@handyrus]

At 14:10 he says LCD is 1. At 14:16 he says LCD is 4

[@bingo1232]

John, love your videos & teaching methods (especially the “bowtie” for fractions)! Question - I got a different answer for this problem. (The algebra checker agrees with your [m = -16] or [17=17] answer.) OK, I got an answer of [m = 13] or [68=68] which I checked 3 times to see if it was right. It was. What do you think? Thanks.

[@thomasharding1838]

If M=13 then the equation would be 17 = 29 + (3x13)/4 which is 17 = 29 + 39/4 which would be 17 = 29 + 9.75 which would be 17 = 38.75 and I don't think that is correct.

[@giannaleoci2328]

3m/4=-12 m=-12•4/3=-16

[@ezofrez]

i did it the same way

[@panlomito]

mmm... correct !!!

[@terry_willis]

Another bone. Thanks Boss.

[@russelllomando8460]

got it -16 thanks for a fun one

[@beverleysmith8704]

I wish you had been my maths teacher in school.

[@harrymatabal8448]

Step 1 17-29=-12 Step 2. -12×4=-48 Step 3 -48÷3=-16 Step 4 how did I do sir 😂

[@btpcmsag]

-16 Why isn't simplifying a third step?

[@thomasharding1838]

You don't have to do anything the simplify. Everybody JUST KNOWS that 4/3 of -12 is -16. But what if it had -402 instead of -12?

[@georgecattani7199]

m = - 98/ -3. =32.667

[@George50809]

Yes, -16 is the answer.

[@margritkaminsky1470]

Minus 16.

[@gititgotitgood]

- 16 3 x -16 = -48 divided by 4 = -16 old school way got answer in seconds..and i'm no mathematician

[@kennethwright870]

-12=3m/4 m=-48/3=-16

[@AnthonyMichaels-g9s]

So what purpose does solving these equations serve, whatsoever, in real life?

[@viji608]

M= 3

[@Cheryl-h1z]

m=-8/3

[@user-my7br1jo9p]

Problem=likes to hear the sound of his own voice.

[@happyrn6177]

Too wordy for me, but nevertheless excellent tutorial.

[@fredrickeffi2143]

I got 4 as my answer bcoz I did a mistake wen multiplying 3m/4 by 4 I got 12m

[@viji608]

M=6

[@يوسفحسينعبدالله-ز4ج]

m = -16

[@earnesta.brooks7123]

I am uncertain but I think it is m=16

[@earnesta.brooks7123]

I got it. I studied algebra in grade10, about 1963, and we didn't have an adding machine or calculator.

[@petegustafson693]

I got -16 just doing it in my head

[@EvgenyUskov]

"17 =..." the only thing that 17 can be equal to is 17

[@christopherellis2663]

17-26. .

[@EvgenyUskov]

@@christopherellis2663what do you mean? how can 17 be possibly equal to anything other than 17?

[@cathyontong5324]

-19

[@charlesmitchell5841]

-16

[@christopherellis2663]

m=-16. 0:55

[@user-my7br1jo9p]

So... I think the reason you talk so much is because you're explaining things that have nothing to do with solving the equation. This is why tutors are needed. Teachers overcomplicating all the time.

[@btpcmsag]

John IS a math tutor.

[@thomasharding1838]

He is not trying to teach how to solve the problem. He is trying to teach how to UNDERSTAND solving the problem.

[@harrymatabal8448]

,-16

[@Nadia-kj9kt]

Too simple.

[@cic-jakevanddalgeemyers.2739]

You never go straight to solving the math, you talk too much. Why?

[@thomasharding1838]

He is not just trying to solve the problem. He is trying to teach how to UNDERSTAND solving the problem.

[@danielmadden9691]

-16

[@davidscheller8206]

-16

[@edithsmith1524]

-16

[@happyrn6177]

-16