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Question

FaaeSolve Ine fallxing Indil value broblem usrig 3y") 2vutaeLaplacn irnbloun Inethiod04 MoleeOl Ietu *Jlulicalol Irt Idlow"ino Imnar Suairin 0lotixeuel emuntansUtanelnthincame-nhalHErEMlennniahlal JMatsh(Toial Gar*|

Faae Solve Ine fallxing Indil value broblem usrig 3y") 2vutae Laplacn irnbloun Inethiod 04 Molee Ol Ietu *Jlulicalol Irt Idlow"ino Imnar Suairin 0lotixeuel emuntans Utanelnt hincame-nhalHErE Mlennniahlal JMatsh (Toial Gar*|



Answers

Solve each equation, and check your solution. $$ 1.2 y-4=0.2 y-4 $$

Here we are Given that if trump vacation communication thought first a quick little 0.6 x find a 0.2 way and quickly, too. On the second occasion of 1.2 ex noticed minus plus the row 0.4 while in the three. Now the use this substitution mattered. Then we you deserve patrician mattered. You will fall vacation one for why firstly will multiply 10. But the fights we get thick FEC's minus Dubai is equal to 20. No thought for why managed to y in the call. 20 minus thick sex the red. We managed to board the sites we could buy the call to minus ben plus three X now hospital the value for pi into vacation. One. Firstly, we will multiply 10 Both the sides get rid the decimal. We get extensive minus less for why is equal to 30 Now I have to do the value for By there, Dave well backs with four times Why were Louise minus pen of three X is equal to 30 not simplifying minus 12 backs Mina 40. Mine if 12 X that if positive is equal to 30 Now here we see that man. If quarterbacks and 12 x cancel out. We get Mina, 40 recall to 30. That's not true. It means there is no solution for the given safe top dedication. It means life. They are parallel north Olof in.

Here we are Given that if trump vacation communication thought first a quick little 0.6 x find a 0.2 way and quickly, too. On the second occasion of 1.2 ex noticed minus plus the row 0.4 while in the three. Now the use this substitution mattered. Then we you deserve patrician mattered. You will fall vacation one for why firstly will multiply 10. But the fights we get thick FEC's minus Dubai is equal to 20. No thought for why managed to y in the call. 20 minus thick sex the red. We managed to board the sites we could buy the call to minus ben plus three X now hospital the value for pi into vacation. One. Firstly, we will multiply 10 Both the sides get rid the decimal. We get extensive minus less for why is equal to 30 Now I have to do the value for By there, Dave well backs with four times Why were Louise minus pen of three X is equal to 30 not simplifying minus 12 backs Mina 40. Mine if 12 X that if positive is equal to 30 Now here we see that man. If quarterbacks and 12 x cancel out. We get Mina, 40 recall to 30. That's not true. It means there is no solution for the given safe top dedication. It means life. They are parallel north Olof in.

Hello, everyone. So here we have a system offline Eri questions in two levels on how to find a solution by using a convenient method. Okay, so you can see all look, office years are in decimal form, okay? And ah, better up to one places of decimals so we can multiply 10 who? Each of these questions and make them whole numbers. Okay, so that would be pleasing to look or convenient for us. So if I multiply 10 the first equation on both the sides, we will have three ex plus two way he closed for And for the 2nd 1 we will have five X plus four y equals to seven. Okay, Now we have to use the elimination mattered toe eliminate white. Okay. As because we can see that way he just need to multiply the second equation with two and then subtracted from the 1st 1 Okay, and then we will get Why eliminated. Ok, so if it is a and this is B, then we have to do this one operation that is to multiplied by a minus B. Okay, so that would eliminate way. So what is two multiplied by a Okay, so that is three multiplied by two. That is six X, then two y multiplied by two before way. Then for multiplied by two would be eight. Okay. And then we have to subtract B from it. So that would be five X plus four way equals to seven. So since we're subtracting, we will use the negative Same. Okay, so here. Six x minus five extra. Give us x four way and minus four. White would get cancelled. 20 and then we will. We are having eight minus seven. That is one. Okay, so access equals to one. Now we will use this veil off X on in question A to find that I love white. So a question it waas three x plus to why equals two full. OK, so here we have X equals two wants or three multiplied by one plus two way close to full. Which means three plus two y equals 24 or two y equals 20 minus tree that is one. Thus to y equals to one. And this we have Why equals to one in Oh, sorry. One upon to. Okay, So this is why annexes one. Okay, so the solution said. Are the solution invaded in in the form off ordered pair that is one comma off. And since this is the UN distillation, so then their solution said, converted in in the second rigor. So there's the solution said Okay, one common might myself. I hope you have understood.

But today our job is to solve the system of equations by using the elimination method. So the first thing we want to look at is when we see both of our equations here. Ah, when we used the elimination method, we want to get rid of one of the variables. So if I look at the wise here on the top equation, I've got negative minus their subtract two. Why On the bottom equation, I have a positive to why? So I can start right away by adding these two equations together three x plus four xs seven x and then on negative, too I plus to why this is equal to zero. So this actually cancels out and zero plus 14 is 14 and what you've done as you've taken two equations with two variables and simplified it to one equation with one variable that weekend, then solved seven multiplied by X, we're gonna do the inverse of modification, which is division by seven, and we end up with X is equal to two. Second step is, um, we're always looking for not just the X coordinate, but we also want to find the y coordinate that works for this equation. So we're gonna take this X equals two, and we're going to substitute it into one of our equations on the top. And so what I will do what I like to do is I like to substitute it into the one that has the least number of negatives. Usually makes it easier, Um, for us. So if I'm using this bottom equation right here, Okay, I'm going to have four times too. So I'm substituting in this too for X this too, right here for X. And then I continue with plus two. Why equals 14 and I need to solve this equation now. Now, again, it's one equation here, and I'm gonna solve for why so four times two is a plus two y equals 14. So I simplify first. And now I can move the eight to the other side. So I'm gonna subtract a because I'm trying to get why by itself now. So I'm gonna get to why is equal to six and divide by two. And that gives us why is equal to three. So if I want to write it as a huh ordered pair, I could write this the 0.23 if we're thinking about ah graphing method. Ah, but two x equal to y is equal. Three is our solution. And we can actually check if we look at Desmond's dot com. And we look at the two lines here where the two lines cross is at the point to three so we can check it. Um, with our technology here to make sure that we did it, correct. Thanks for watching.


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