Introduction to Linear Equations (TTP Video 5)

An explanation of the basic properties of Linear Equations.

[guidofeliz]

Professor Leonard, I thank you for teaching math to the world for free. Serious students around the globe thank you.

[iEntoxicate]

Is it weird that I'm in calc 3 and still watching these?
Professor Leonard, thank you for taking the time in making these TTP videos.
I seriously think I will watch every single video until you get to differentials and beyond that but hopefully by then i would've graduated.

For anyone complaining that these topics are "too easy" just have some patience, your time will come bbys, or go along with these videos as review, better than wasting brains cells on tv imo.

[mrhandyman]

Thank you Professor Leonard for being such an AWESOME teacher. You helped me learn Statistics last semester thru your videos. I'm a bit older and returning back to school to finish my degree after finally my daughter is on her own in college after high school. Returning back to relearn these areas that my Calculus teacher has started greased my rusty areas such as this subject and others. Because of your teaching, I am confident to take on this Calculus class without spending too much money on tutors. Your a true savior and great teacher!

[Peter_]

I studied a class in Partial Differential Equations ("PDEs") a while ago, but I still regularly review these videos up to Calculus 3 and ODEs in my spare time. :)
The only other prerequisites before my PDE class were Fourier Series, Fourier Transform and Laplace Transform, which I learned in my Linear Analysis class.

[terryannwilliams]

The best maths teacher ever . You have a special gift.

[OwolabbyAzeez]

the BEST MATH teacher in the WORLD. HANDS DOWN

[chicchi]

finally you are making a linear algebra playlist. yea!!! thanks. I really enjoy watching you. You teach me how to teach

[Letlovelead_]

Prof you are too much. In fact I enjoy all your lessons. God bless you :)

[ScriptGuider]

19:07 - "Alternvhuhly- alterniv- ... the other way..."

That made me laugh so hard. I love this guy.

[almahdiamin]

Hey Dr.Leonard I really enjoy your videos and I learned so much from them for calc 1 and 2. START doin a full videos lessons for Linear Algebra. Thank you so muchhh

[guidofeliz]

Although linear equations are really easy, it is also a great review of algebra 1 for me. Thank you, Professor Leonard.

[radhikamadan]

Sir,
A very HAPPY NEW YEAR to you and your family...
May this year brings a lot of happiness and success to you and adds even more beautiful colors to your life...
You are really a blessing for all of us and may God bless you forevermore... :)

[niallspotate]

do you have videos of advanced linear algebra like with matrices and stuff and rref and all of that?

[reboot-armani]

I love your lectures. Please do a series on linear I am taking it next semester :(

[smartdevil]

Thanks a Lot, Professor :-) will wait for next video for practicing.  Just from your Prealgebra videos 4 Apple and 3 Dollars are Appdollar, or Dollapple. LOL, I attend your university virtual class on youtube. So I know the answer. Oh! ya, that was Banana and Dollars.... LOL... Thank you again.

[hashtech]

I thank you for teaching us all these great topics, I've learned soo much from you, I were to ask if you could go in further detail of linear algebra and matrices in detail and have a separate video series on them?! That would be great

[icono__]

I know you get this a ton, but I really really really want to hear your take on Linear Algebra. Seeing your teaching style, it would suit you like a glove imho

[trueboss]

Could you do videos on Linear Algebra and matrices?

[ScriptGuider]

How come an equation with a variable as a denominator isn't considered linear? Say for example you had the
equation: *9/x + 5 = 8*, couldn't you multiply both sides by x to look like this..?

*x(9/x + 5) = x(8)*
*9 + 5x = 8x*
*9 = 3x*
*x = 3*

[jmcharter]

In this video you say a linear equation only has one variable, but every time I look for examples of linear equations they nearly always have two. i.e. y = 2x + 1. Have I misunderstood you?