#3X2 SYSTEM OF EQUATIONS SOLVER PLUS#

#3X2 SYSTEM OF EQUATIONS SOLVER PLUS#

Y- maybe I should make it very clear this is not a plus The same thing as negative 3x minus y, if you justДistribute the negative sign. Plus y from the left-hand side of the equation. Subtracting the same thing from both sides of Would be subtracting the same thing from both sides $1.79 from the right-hand side? And remember, by doing that, I Plus y from 3x plus 4y on the left-hand side, and subtract Subtract this equation, or what if we were to subtract 3x The variables? Well, like in the problem weДid a little bit earlier in the video, what if we were to This equation that will help us eliminate one of There something we could add or subtract to both sides of You're going to add- let's focus on this top equationДЄdd to both sides of this equation that'll help us eliminate one of the variables? Or let me put it this way, is So how can we do this? Remember, with elimination, Hard to eyeball things with the graphing. Of the techniques we've seen so far- substitution,Д®limination, even graphing, although it's kind of What is the cost of each candyД«ar and each Fruit Roll-Up? And we're going to solve Peter also buys 3 candy bars,Д«ut could only afford 1 additional Fruit Roll-Up. Statement tell us? Nadia buys 3 candy bars, so theД¬ost of 3 candy bars is going to be 3x. Let's let x equal cost of candyД«ar- I was going to do a c and a f for Fruit Roll-Up,Д«ut I'll just stick with x and y- cost of candy bar. What is the cost of each candyД«ar and each Fruit Roll-Up? So let's define some Peter also buys 3 candy bars,Д«ut can only afford 1 additional Fruit Roll-Up. Nadia buys 3 candy bars and 4ДЇruit Roll-Ups for $2.84. Our newly found skills to tackle a word problem, our 5 times 7/2 is 35 over 2 minusД¤ times negative 2, so minus negative 8. So let's verify that it also satisfies this bottom equation. Is x is equal to 7/2, y is equal to negative 2. Divide both sides byД¤, and you get y is equal to negative 2. Thought up here- 4y is equal to negative 8. Or we could write that- let'sД¬ontinue up here- 4y- I'm just continuing this train of Which is the same thing- well, I'll write it outДЄs negative 16 over 2. Left with a 4y, because these two guys cancel out. So this is going to be 21 overДў plus 4y is equal to 5/2. Times 7 over 2- I'm just substituting the x value weДЇigured out into this top equation- 3 times 7 over 2, You could do it with theД«ottom one as well. This back into either of these two equations. And you divide both sides by 8,ДЄnd we get x is equal to 28 over 8, or you divide the

When I looked at these twoД®quations, I said, oh, I have a 4y, I have a negative 4y. And then what is 4y minus 4y? And this was the whole point. This quantity and this quantityДЄre the same. Things to both sides of the equation? And my answer would be no. On the right-hand side, you'reДЄdding 25.5 to the equation. Wait, on the left-hand side, you're adding 5x minusД¤y to the equation. The equation, you have to do to the other side. You would get Ax plus By, plusД is equal to C plus D. Because D is equal toД, so I won't be changing the equation. So I could, for example, I couldДЄdd D to both sides of the equation. Same thing to both sides of the equation. Want to do something to this equation, I just have to add the

Really, any equation- Ax plus By is equal to C, if I Hold on, how can you just add two equations like that? And remember, when you're doingДЄny equation, if I have any equation of the form- well,

This to the left-hand side, and add that to the We were to add 5x minus 4y to the left-hand side, and addДў5.5 to the right-hand side? So if I were to literally add Just added this equation to that equation? What I mean by that is, what if And it's probably not obvious,Д®ven though it's sitting right in front of your face. That might eliminate one of the variables? And then we would have oneД®quation in one variable, and we can solve for it. But is there anything that weД¬ould add or subtract to both sides of this equation Or subtract to both sides of this equation? Remember, any time you deal withДЄn equation you have to add or subtract the same Or subtract- let's focus on this yellow, on this topД®quation right here- is there anything that we can add We like to eliminate one of the variables. So how can we proceed? We saw in substitution, Represent the solution sets to both of these equations. This would be the intersection of the lines that Value that satisfies both of these equations. Let's say I have the equation,ДЈx plus 4y is equal to 2.5. More methods for solving systems of equations.

3x2 system of equations solver