Algebra II Main Lesson VI.1: Linear Equations in two Variables

In this video, we introduce the concept of a linear equation in two variables written in standard form: Ax+By=C where A, B, and C are real numbers, and A and B are not both zero. We also discuss a stricter definition where A, B, and C are integers, A is non negative, and A and B are not both zero. Finally, we discuss the basics of a linear equation in two variables. We learn to write the solution as an ordered pair.

[alissamagsino]

thanks...without this video i cannot understand our lesson....-_- cause the way my teacher teach is like a rapping baby :3

[Greenemath]

No one is guessing, you obviously weren't paying attention. In the beginning of the video, I clearly explained that we were just learning how to check to see if we have a solution. You need to understand what satisfies this type of equation, before you move on to learn how to find it.

[madnesslive]

Great video! but I just have a question. everything you explained in the video I already know. what im confused on is how do I solve one of these types of problems if it DOES NOT give me an x or y variable to "plug in and check". for example, my textbooks says 5x+y=6 give three ordered pairs of integers that satisfy the open sentence. do I just randomly select 3 x values and find its corresponding y value? what about a question such as x+y<5 solve each open sentence if each variable represents a ppsitive integer. do I just do the same thing and pick random x values then solve and find its corresponding y? please help ASAP! test tomorrow, ive been studying all week but no help. :(

[graceec]

Ik this is old, but you helped so much. I have been stressing over this, bc there’s so many equations, and different ways to do them, it’s mostly the remembering part that is hard for me tbh, but thank you 🙏

[Greenemath]

If you use 1.3, you won't get a true statement. Remember, 4/3 is not equal to 1.3, it's equal to 1.3333...
It's a repeating decimal, so in this case we can be more precise by using a fraction.

[josephguzman]

Thank you so much ! You explained that with such clarity! I understood it without having to beat my head lol.

[Stephanie-ykdz]

Omg so I go to school in Germany and I read that in the US students don’t usually start learning Algebra | until 9th grade and Algebra || until 11th grade???? Like???? Is that true?? ‘Cause I’m in 7th grade and we’re already learning Algebra || 🤨🤨🤨

[Greenemath]

Nope, you can choose whatever value for x, and then solve for the y that satisifies the equation. I just use numbers that are easy to work with like 1, -1, and 0.

[AmoKey]

how do you figure out whole number that would work for this

[sage]

What? So there will always be different values available?

[henrietta]

Why would you use fractions instead of decimals??? The line graph has no fractions, so it makes more sense to use 1.3 instead of 4/3.

[yking]

which software are you using for drawing

[chrishansen]

What about an equation like this
(17x-y)=(2x+4y)

[vicwang]

How to do x/5+y/3=6 and the second portion is x-2y=8 and I don't know how to do it because they can't explain it good

[Bella-yfnw]

What grade level is this for? I am trying to study for my testing

[notyman]

Thanks a lot, you really helped me out

[alissamagsino]

thanks...without this video i cannot understand our lesson....-_- cause the way my teacher teach is like a rapping baby :3