EQUAÇÃO do 1ºGRAU com DUAS incógnitas | Matemática Básica | #10

Hi guys, welcome to another class on the Gis channel, today you will learn a first degree equation with two unknowns. But is it possible, you might be wondering, to solve a first-degree equation with two unknowns? Of course, that's why I invite you to watch this class, let's go?

Don't forget to watch Gis's class until the end because today is a shoutout day, I'm going to send a shoutout to you who put your name and the place in Brazil where you watch me in the Gis community and I also want to ask you Subscribe to my channel, share the videos with your friends and give me a thumbs up, ok guys? So here's the thing, how do I work with a first degree equation involving two unknowns? Because until now in the previous classes we have only worked with one unknown, and this one, folks, this content of the first degree equation with the two unknowns is the gateway for you to work with a system of first degree equations than the content of the next class , so I need you to understand when I work with two unknowns, so you can perform well in the next class, okay?

So, look at the situation that I brought here today, the sum of two numbers is 5 points, this is the situation that I brought up, even with a little emphasis here, right, production? Production doesn't say anything to emphasize, the sum of two numbers is five. Letter A, write an equation to represent this situation, this small situation and then you can represent this situation?

So here, as I say that I have two numbers, I can say that one of the numbers for me, as I need to work with two unknowns, one of the numbers will be x so I will write it like this x plus the other number I will call y. But why am I going to call it x and y? because when we work, then here I have that thought there in the Cartesian plane, right in the coordinates that is ordered by one called the abscissa and the other called the ordinate, okay so you need to know that's why I always work x and y, the Gis and if you want by A and B, is it wrong?

No, if you want M and N? You can't put them, but it's common for us to put the abscissa and the ordinates, right? So two numbers that add together have to result in 5, so write an equation to represent the situation, my equation is this one folks, why is it really an equation?

Because it shows the equal sign and I have the unknowns here, okay? And now, in the letter B, write three, look, I specified, I want three solutions to this equation, so we pretend it's a joke, two numbers that add up to five, I say one and you say another, so we can identify three solutions, so Pretend that I'm going to say that one of the solutions is 4, and then x is 4 for me, until I paste it here, x is 4, who are you going to tell me for the answer? who will be the other number that will represent the y that the sum will give 5?

Easy, right people, the other one will be 1, so that means that 4 and 1 would be one of the possible solutions to my situation here, okay, but why do I have to go through this type of content? Because here it involves a lot of algebraic thinking, you can take what is written and then in the form of a sentence you transcribe it into a mathematical sentence which is when we work on the equation system which then involves two equations and two unknowns that's why I I need you to understand well here, okay? So saying that x is four and y is one is a possibility of resolution in the same way people, which I could change here, I could say that x is one, one plus four results in five, so that means that there I have already put two possibilities of The answer was no, I just changed places, okay, so here I have a possibility.

Now I'm going to tell you that x is worth two, another situation is x is worth two, how much are you going to tell me who will be the value of yo, value of y then it will be three so two plus three would be another solution that I have for The situation here is almost easy for me, right? If I said that x was three, what would you say that y would be two, just reverse it and it will be the same, ok, just paste it right here because it wants to stop. And now, if I told you now that x is worth minus two and then x will be worth minus two, what will be the value of y?

- 2 as much as possible and very well for you who answered 7 if I take then - 2, - 2 + 7 will result in five so you noticed that I limited here the amount of possibilities I put three possibilities of what could be the answer to our situation here, okay guys, I could put what else, for example, minus one plus six, it will give 5. So there are several other possibilities that result in five, okay guys? So remember that I already limited it to 3 so you can put these three situations.

So I have my three answers here, where did they fall, the other answer was how many times here, I dropped it for nothing, was it for you to remember, how many? I'm even going to improvise now, right, production, there were seven of us here, okay, everyone agreed, so this is simply what we work on, so I do a quadratic equation with two unknowns, let's do one more example then, shall we? Guys, look at another example that I brought here for us to apply and it gives a concept of a first degree equation with two unknowns.

Look at the situation I brought: Gis filled a large glass with water three times and a small glass four times and took the contents and poured it into a jar, obtaining two liters, so I brought the objects here so we can simulate what the statement is saying there, which sometimes becomes clearer to you, so, a large unicorn cup that has I don't know how many ml, I don't I'm going to tell you and a small glass is so what did I do, I took this glass here and filled it with water, how many times did I fill it with water? I filled it with water three times and put it in a jug, then I filled it once and poured it, twice and poured it and three times and poured it, so I filled it three times, so I went there and took the small glass and filled it with water how many times? 4 times of water one two three and four now get the juice there production, let's mix and make a juice here for us, it's hot here in the studio, okay guys so simulating our situation I filled this jar and got its capacity of 2 liters of water, which is the total capacity of this right so this is the simulation of our situation now let's see what the statement asks, letter A: write the equation that represents this situation, so how are you going to answer letter A, what will it look like then what will be the situation that represents the equation that represents the situation, well I'm going to say that my large glass, which I don't know the value of, has X ml, its capacity is X ml, so it will be x ml which I don't know is multiplied by the number of times I poured the water which was three times so it will be three times So what will happen, its value I will call its capacity ml is y ml y ml x 4 times which was the amount of water I filled equals the total capacity of the jar which is 2 liters so equals two, It says advertised, right?

We get two liters. More people, were you able to observe that when I was referring to cups I said ml the unit of measurement ml and the jug the unit of measurement in liter so if you didn't watch the class where we explained about converting units of measurement I I'll let you know so that you can come back and clear up all your doubts, ok? And then I'm not going to leave it written here as 2 liters, I'm going to leave it written as 2 liters, no, like 2 ml, as the unit of measurement being ml.

2 liters is the same thing here, 2000ml is perfect, right now it's beautiful, I answered the letter A, now I'm going to answer the letter B, what is the question for the letter B? Find a solution, look here guys, do you remember the name of the previous example that I limited to three solutions, three possible solutions here I want just one possible solution, it's good that this one is easy, I believe you've already managed to understand the context, right? determine the capacity of the cups that Gis brought to class today, okay?

So the letter b will be what three times when could it have a larger cup capacity? Let's determine the value, I don't know how much you said, where's the production answering 400, wow the pen is weak, production has to change the pen, oh three times 400 so I'm saying that my glass x has 400 ml it's four times the little cup and I don't know the capacity as we put 100 ml more or less let's say 100 so very well, will this give us 2,000 ml? Let's test equal to 2 thousand, so what I wrote here is the value of y, right, which is the capacity of the smaller cup, let's test it three times 400 from 1200 is no longer 4 x 100 from 400, 1200 from here with 400 from here 1,600 doesn't equal two thousand, so that means it's not going to be a solution to our equation, it can't be, we're going to have to find another possibility.

So what are you talking about? Exchange here? How much do I exchange for here?

For 200, will it be possible? Now people are talking about exchanging it for 200. Will it be possible?

three times 400 has to be 1200, 4 x 200 gives 800, 800 with 1200 = 2000 look, then very good to whoever said that my glass x which is the largest glass has 400 ml of capacity and that the smaller glass which is oy has 200 ml capacity. So we managed to find a possible solution, I can stop here, yes, I answered what the statement asked for, a solution. Now, if you did something else , you found another solution different from mine, test the value to see if it will be validated and if it will really give you two thousand because you saw when I put 100 here it didn't work, I had to change it.

It's agreed, people, you have to take into consideration that the glass I poured three times was bigger, right, can I change it and say that it was smaller and the other one, this one is the biggest, so you'll think about it in your house and go respond to other possible solutions for this situation that I brought here, agreed? Well, I hope you understood a little more about the equation involving the two unknowns because you will use this type of thinking a lot when you study the first degree system of equations, which are our next classes combined? Oh, don't forget to leave your thumbs up for Gis, give a thumbs up and subscribe to Gis's channel.

If you're not subscribed, I still have other news to tell you, I have it there, so the Gis website is, I'll leave it here for you. On the Gis website, you can also find it in the description and there are lists of exercises on the website, what do you do? You watch Gis's class, you understand the content, try to understand and go to the website and get the exercise list relating to this content, solve it, there's no point in copying the answer, okay?

Because I'm going to get angry if you keep copying the answer, you make the list and solve everything nicely and then you'll check it with a template to validate your answer and if you made a mistake you'll try to do it again to see where you're going wrong, it's not true ? There's no point trying to deceive anyone, right? Try it and let's go to the save now, then, folks?

Let's go? Whoever left it in the Gis community, then from the place in Brazil that attends Gis classes and the production today asked me to say hello without dancing back and forth like that, looking like I'm on a boat, okay guys, so Let's go to whoever left their comment. So I have here a comment from Vanessa Coelho from Japan, Vanessa look at Japan, José Oliveira Baturité in Ceará, he asked to send a shout out to the students at Mustard Grain School, kisses to you who attend Gis's class, okay?

Hey, a thumbs up for you, rosinei costa de manaus no amazonas francivaldo josé teresina piauí I even had to study the acronym of the capitals in people, because then how would I say what state you are in, gabi rb de são paulo in the capital leandro da silva state of rio de janeiro mirella moraes caetité caetité in bahia look there people are joão junior campo grande mato grosso do sul and tânia barbosa salvador adriano santos salvador bahia éden bezerra am I also a heifer here? It is? there from Pernambuco, Recife, Pernambuco and Frank Campos, Manaus, good afternoon, good evening, good morning, I don't know what time you're going to watch Gis' salve.

So thank you very much for everyone's participation, okay, in the next classes there will also be a shoutout for those of you who are watching Gis's classes, following along and leaving your comment. So until next class, bye. .

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