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B)I6Y,2) = 2x + 2y + %; B(x,Y,e) =x+y2+22 =9,...

Question

B)I6Y,2) = 2x + 2y + %; B(x,Y,e) =x+y2+22 =9,

b)I6Y,2) = 2x + 2y + %; B(x,Y,e) =x+y2+22 =9,



Answers

Solve each equation for $y$. $-2 x+y=9$

In this fusion that given data is system of equations are given that His first question is given. Why is equal to to express nine. And second equation is given. That is why is equal to access square plus one. Now in the question it is saying that we have to solve this system of equations by algae Brickley. So let's start solving the execution. So first right again the given equations are that is system of equations are first is why is equal to two X plus nine. And second equation is why is equal to X square plus one. No, I can say no here I'm giving numbering. So I can say that this is a question number one and this is a question number two. Right? No. As according to occasion we have to solve this system of equations by algebraic lei. So here I am applying a method called substitution method. So according to this matter, get the value of life in terms of X. From equation one. And after it substitute this value of Why in equation number two. So First look the equation No. So you notice that the why will already written in external. So my next step is substitute this way From a question # one two, Equation # two. So it means I am frustrating again, equation number two. That is why is equal to two, X squared plus one. Now here put this value of y from equation one. So after putting, I will get that is two, x plus nine is equal to x squared plus one. No, next step is subject two, X last nine to both sides. Then next step will be to nice, zero is equal to x square plus one minus two, X minus nine. No, my next step is switch the sides. And uh we are indeed. Then I will get the result that is x squared minus two. X -8 is equal to zero. No, as you see, uh the equation which I get is quite in quadratic forum. So my next step is I have to simplify this quite a dick equation. So yeah, I am using a method called factoring method. So by applying this method, the quadratic equation will be written as it is presented yourself. X minus four, multiplied by parenthesis of X plus two is equal to zero. No, next https apply here zero product role. So according to this rule, I had to set each factors equals to zero. So it means first Rector, that is X -4 will become zero. And now second factor that is expressed to will also become zero. No simplify it. Then I will get X is equal to four from Equation from some first linear equation and X is equal to -2 from 2nd linear equation. So it means I had get to value of X variable that is first is X is equal to four, and second is access code. To manage to know my next step is I have to find out the corresponding value of Y. So for finding this, I will put the value of X one by one in equation number one. So equation number one is which I write in the beginning. That is why is equal to two X plus nine. So write this equation in this step. So I can say that first situation is why is equal to two X plus nine. Now, here I am first putting the value of X one by one. So first put the value of X. That is equal to four. Then I will get the value of Y that is equal to why is equal to two, multiplied by four plus nine. After solving I will get value of why that is eight plus 9, 80 17. Now put the value of second value of X. That is X. Is equal to manage to. Then I will get the value of why that is equal to two, multiplied by -2 plus nine. Then simplify it and I will get the value of why that is equal to five. So after getting this solution after getting this result, I considered, I had to get the solutions for system of equations. So solutions are that his first pollution is X is going to four And why is equal to 17. Second solution is X. Is called to manage to And why is equal to five. So this is the answer of Cuban fusion. Thank you.

All right. In this particular case, the system of equation is given. Explicit by okay is he wants to nine on a two X minus three bite is equal to minus two Will be a just using substitution method in here. Okay, so let's just name the first equation. Which is X plus nine is equals to one on a two X minus three by is equal to minus to a second equation. Right? So I'm just considering the force to question from one. If I just pray extended simply and I am minus five, if I just substitute this value of X in equation too. So what does this note assembly becomes two times affects, which is nine minus phi minus three is equals to minus two. Right. So this simply means minus off five by is a quest minus of 20. Or why simply comes out to before I have this Pakistan. Now, if Isaac was 24 So from here, X equals to nine minus by what we have X equals two nine minus four. Okay, which is equals to five. So does at this point of time, we can say that X is equal to five. OK, on. Why is it Costa Ford is the final answer

In this video, we're going to solve the system of equations that expert plus y squared equals nine and X squared equals nine minus two y A great way to solve this system of equations is through substitution. Since we know immediately the X squared that appears here and here can be swapped out with nine minus two y. Let's begin immediately with that solution so we can right next in place of X Squared nine minus two y plus y squared equals nine. In solving this equation, let's first reorder the terms on the left hand side in descending order on the degree so that we have y squared minus two y plus nine equals nine. The next step we can take to solve this equation is to subtract nine from both sides. Bell obtain a zero on one side so that we have y squared minus two times y equals zero. This allows us to factor by factoring out the greatest common factor of why leaving y minus two equals zero. At this stage, we have two factors multiplying, resulting in the quantity of zero. The only way that this could happen is if the first factor, why is zero or the second factor Y minus two is equal to zero. In either case, we can go back to the first equation we have here and begin a substitution. First, let me write down those That equation X squared is nine minus two times why and X squared equals nine minus two times wide. So in the first case, we have immediately that why is equal to zero. So we obtain X squared equals nine minus two times that value of zero for Why So now the equation is that X squared is equal to nine. And we can take the square root of both sides of this equation to obtain that X is either positive or negative. Three in the second equation, we know that why is equal to two so we can make the substitution. That X word is equal to nine minus two times why. But why is to so all right in a two in that position? Then, when we simplify that right hand side we obtained that X squared is equal to nine miles four or, in other words, X squared is equal to positive five. So if we take the square root will have that X is equal to positive or negative square root to five at this stage, were ready to state all solutions to this equation. Let's first focus on the case that why is equal to zero when y is equal to zero. We had two possibilities for X. It's all right to ordered pairs altogether and put a zero on the second coordinate to represent why, then, when y zero X is either equal to three or negative three. Let's do the same for this case here. When y is equal to two, we won't see him again. Picked up two possibilities for X, a positive or a negative version, but will fill in two for the second coordinate. For both of these solutions to represent why, then ex corn? It is either the square to five or negative square to five, and that finally represents both solutions to this system.

Okay, We're trying to solve the system. Two X minus Tiwari equals negative two and six by minus X equals zero. The first step is to get under their extra weight by itself. In either of the rations, Ivan lines eso It looks like the easiest one to work with us right here because you have a coefficient of X. A negative one. What? Everyone is a coefficient by their extra. Why, that's part of going to be a signal that that's the best thing saw for. So we're gonna grab that and saw. Let's do that. We get six. Why minus acts is equal to zero. Use that extra, both science. And when you do that, you're going to get six wise able to acts, which means that the next must be able to six. Why? Obviously you can take that X value and replace it or sub student into the original equation right there and then do step two. So now we've got two times the quantity of X, which is 65 and we're going to take away nine wife from that, we should have a value of negative, too. What's your time? Six. Wise 12. Why 12. Why take away nine? Why is gonna be combine like terms 12 69 is three. So that's gonna be three. Why? To really get three y is equal to negative Teoh And then you want to get the value of one y. So I knew I do Times by three divide by three. And your answer is that one. Why, within the equal to negative 2/3 which means that these two lines intersect and why value of negative 2/3. If we did everything correct, we still need to find the X value of the section. So now we take that why value and we're gonna plug it in to the original equation that we used. And we're going to figure out the corresponding extra own. So when wise Negative 2/3. What is the value of that's so six times the quantity of negative 2/3 minus acts should be zero six times negative, 2/3 just negative, 12 3rd just negative for so negative for minus X is equal to zero. You want to add X to both sides once again to solve it, and you can see that Therefore, the answer is that X is equal to negative four. So it appears that the order presents the solutions of this system. Is the order parent negative for common Negative. 2/3 access. Negative. Four wise negative 2/3. We left the 100% sure we have to double check this. Wait a double check. It is to take that order, parent. Plug it into the other line. So see, if we get a true statement is two times whatever access minus nine times whatever wise equals a negative two. Is this a true statement? Well, two times negative for us. Negative bay and negative. 1982 3rd positive. And that's 18 thirties, which is sex, Positive sex. And what you end up with here is negative. Eight plus six equals negative two, which is true. So is negative for common negative. 2/3 solutions. Both of the lines? Yes, it's the point of intersection between the two lots.


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