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SORU-5Wi Bez brekFonino ~oiuliontho dibcrcnial equalion1' (r+l)y-&re wnich ClIn ollovarO ine [ossible integratirgacio tx+ InkxHicbiriInkx...

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SORU-5Wi Bez brekFonino ~oiuliontho dibcrcnial equalion1' (r+l)y-&re wnich ClIn ollovarO ine [ossible integratirgacio tx+ InkxHicbiriInkx

SORU-5 Wi Bez brek Fonino ~oiulion tho dibcrcnial equalion1' (r+l)y-&re wnich ClIn ollovarO ine [ossible integratirg acio t x+ Inkx Hicbiri Inkx



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Name each alkane.

We'll start with the equation. X equals 15 and we'll find more equations that also have that same solution, said the equation X plus one. Equal 16 also has a solution of 15 X minus. The V equals 12 has the same solution of 15 and two. X equals 30. Also have the same solution of X equals 15. So this would be one group. Another equation that we have is X equals negative one. There's only one other equation that has this as a solution, and that's X Plus seven equals six. This is also equal to make it of one. This would be a group we have another equation of X equals nine. So there are other equations that have nine as a solution to X equals 18. This would have a solution of mine. X plus two equals 11. This would have a solution of mine. An X minus two equal seven would have a solution of nine. All of those Air one group. Finally, we have two other equations. Two X equals 10. You know, this means that X is equal to five and the other equation that we have leftovers five x is equal to 25. This is also true that X equals five. So this was

In this problem. Where does all this system affectations By using a graphing calculator Toe eating? No, The system of equations is 1.5 minus flying. Lie plus threes. There is a place to 16. 2.5 days, my ass. Four wife, Unless there is, it was grinning hole, then two x plus 3.5 by minus. These there is a little minus Boston or the system affectations include a matrix situation. That is excuse sequence to be that will be one point by minus By honey, you want to fight minus or one Rule 3.5 and excellently x lies Itwas toe 16 24 minus it now forced into the data from the given day. But you laughing? No, there's the Matrix key. And then this edited and then best idea Now find that a involves that is the inverse of the given matrix. Then enter the matrix B and then my tie inverse B and then finding the value extracted X y Z and by well, the time ex involved, he didn't get the values off exercise A as X is equal to minus 1.6. Or why is it was minus 9.632 and that is it, but still minus nine point 2 16. That's

Hello. So here we have 66 X plus 66 Y. Is equal to negative 77 we have 33 X. Um minus 132 Y. Is equal to 143. So if I guess right by the second equation here, by a negative two then we'd have while 33 times negative two will be a negative 66 X. And then our exes would then drop out. So let's work on. Our first equation is going to stay as 66 X plus 66 Y. Is equal to negative 77. And then we have negative two times 33 X. That's a negative 66 X. And then we have negative two times a negative 132. That's going to give us a positive 264. So plus 264 Y. Is equal to negative two times 143. Which is going to give us a negative 286 it was a native 286. Now, if we add these equations together while the exits are going to drop out and then we have 66 Y plus 264 Y. So let's see here, 66 Y plus 264 Y. That's going to be equal to um What is that? That is 330 Y. So we have 330 Y. Is going to be equal to negative 77 plus a negative 286. So negative 77 minus um 286 gives us a negative 363 this is equal to negative 363. So if we divide through here by well 330 with that Y. Is equal to negative 363 over 330. Um That can probably be reduced. Um And um did you doom let's see here? Um Well we can definitely multiply definitely divide everything here by at least three. um Boy let's see. Um Yeah this was reduced down to 11/10. Um because let's see here, 330 divided by three is going to be 100 and 10. Um And 3 63 divided by three is going to be 100 and 21. This is gonna be negative 121 over 100 and 10. Um And can that be reduced further? Um Let's see here, can that be reduced further? Um Mhm. Um Yes. Right because 110 divided by 11 is 10 and 1 21 by 11 is 11, therefore it's gonna be equal to negative 11 10th. Okay so that reduces down to a negative 11 10th. Um And then we can substitute that value in um to either equation um to solve for to solve for X. That was y. So let's look at our first equation. We have 66 x 60 six X. Plus while 66 Y. So plus 66 Times -11/10 Um is going to be equal to negative 77 mm. So therefore we have 66 x. Plus. Um well we get 66 times negative 11. Um So that's negative 726 over 10. Um you can probably reduce this but we can definitely do it a little bit more this 10 if we do this. So two goals in the 15 times and two goals in the 66. Um 33 times. So we have just any better. Um C33 times negative 11 um Is negative 3 63/5. So maybe I don't know any better or not. But this plus or it wants to be plus a negative so minus um minus. What do we get here? We get 33 times. Native 11 is negative. I believe 363 over five is equal to negative 77. Okay then we would add this to the other side. We get 66 x. is equal to negative 77 plus 3 63/5. Okay, so I get a common denominator here. Um Of five. So what is 77 times five? That's going to be negative. 385 66 X. Is equal to negative, 27 is negative 385. 5th. So plus 363 5th. Do that right? Um And then we get let's see. 3 80 Native 3 85 plus a 3 63 gives us a negative 22. So you get 66 X. Uh 66 X. Is equal to uh It's gonna be a negative 22 5th. Okay. And then we defied divine. Actually multiple divide by 66 were multiplied by 1/66. Therefore the X. Here is going to be equal to negative 20 to 50 times a 1/66. Um And then this should um then become well 2022 Over 66. So 22 divided by two is again 11 And 66, divided by two is 33. Um and do any better than that. Well then again 11 um let's say 33. Um Yeah, so 11 goes into 11 1, 11. 11 goes into 33 3 times. So therefore this is just negative 1/5 times three to the negative 1. 15. Therefore found that X. Here X. Is equal to negative 1/15. And we find out why what was why? Why was we found? Why somewhere? Where was why? Why again? What was why? Right here negative 11 10th. Right, right here. So therefore, yes, Y. X. Is negative 1/15 and why was equal to negative 11 tense. Okay, cool. All right. Take care.

Okay. I need to solve this using substitution. So notice equation to has all three variables. So I'm gonna wait on that one notice equation One an equation to only has two variables. So I'm going to use this. Forced the substitution part. Um, now ex And why look, like easiest to solve, which is a good thing. Because then, Z I can move over and it will be the same variable, which is something I'm also looking forward. So again, I'm going to isolate the X by adding a Z toe both sides of my equation. And I get X equals negative 30 plus eight z. Okay, I'm gonna do the same thing with the why and that. But this time I'm going to isolate the why by moving Z over. Okay, so I get why equals 30? Subtract seven z. Remember, we can't combine these because one has variable One doesn't so noticed. I now have an X. I now have a why and they're both dealing with. They're both equal or compare Teoh Z. So now let's go back to this second equation. So if I can substitute um negative 30 plus eight z for X right because they're equal here. I get rid of one of my variables, X. If I can then substitute 30. Subtract seven z for my Why? Because they're equal here. I get rid of my wife. I'm gonna keep my four Z because I'm OK with that in that equals five. Noticed. Now, zero noticed. Now that I have all but one variable on when I have all but one variable and I have an equation, I consult for that one of arable. So let's do it. I'm gonna distribute this three and I get naked. If 90 less 24 z, I'm gonna get rid of this parentheses because it's not necessary. And then I'm going to proceed to write the rest. Okay, I'm gonna combine what I can, So I'm gonna combine disease because they're all gonna become light terms. So I have 24 z subtract seven z, subtract four z. So 24 subtract seven is 17 subtract for 13 Z, then I have, um, my Constance, right, The ones without a variable attached to him. And I'm gonna combine those negative 90 plus 30. Negative. 60. This all equals five. Still. Okay, so now from here how I'm going to keep going. I'm gonna do the inverse of negatives are subtracting 60 by adding 60. That eliminates 60 on that side. And then I'm gonna divide by 13 to eliminate and leave me with Z equals five. So I have found what five equals. Now I'm gonna go back to this equation. Negative. 30 plus eight times e. I know what Z is now it is five. So I can plug in the value of +54 z eight times five. It's 40 subtract 30 or adding a negative. Same thing is 10. So that is what my X equals. I'm gonna do the same thing here. Can I know what my Z value is? It's five. 30. Subtract seven times 5 35 Subtract those and get negative. 54 Why? Okay, so I'm not going to stop there, though. I'm gonna write it as a order to triple. So I'm going to write it in alphabetic order X then y then z So X being 10. Why? Being negative five z being positive, there is my solution to my system


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