5

Enteredansyrr(0,0}, (.6,0} (7 6,.7.61,(76,-7,6} (1.9,3 8), (0,0),(7.6,0),(7.6,7.0), (7,6,_7.0) '(19, 88),(3.8,481 COIec (383,81Tne answer ahave i5 NOT coneclpo...

Question

Enteredansyrr(0,0}, (.6,0} (7 6,.7.61,(76,-7,6} (1.9,3 8), (0,0),(7.6,0),(7.6,7.0), (7,6,_7.0) '(19, 88),(3.8,481 COIec (383,81Tne answer ahave i5 NOT coneclpoint) Find all Ihe cntical points of Ine system7,6)(r: 1.3y)(u "2r) V =v(y" 7.61)Enter Ihe pointscomiy scparied Wst((0,0) (6.0 06,76) (76.761 (1.9.38) (30.30help (polnts}

Entered ansyrr (0,0}, (.6,0} (7 6,.7.61,(76,-7,6} (1.9,3 8), (0,0),(7.6,0),(7.6,7.0), (7,6,_7.0) '(19, 88),(3.8,481 COIec (383,81 Tne answer ahave i5 NOT conecl point) Find all Ihe cntical points of Ine system 7,6)(r: 1.3y)(u "2r) V =v(y" 7.61) Enter Ihe points comiy scparied Wst ((0,0) (6.0 06,76) (76.761 (1.9.38) (30.30 help (polnts}



Answers

Determine which points are solutions to the given system. (see Example 11). $$\begin{aligned} &2 x-7 y=-30\\ &y=3 x+7\\ &(0,-30),\left(\frac{3}{2}, 5\right),(-1,4) \end{aligned}$$

So for number 72 in chapter two, section three, we have a system of linear equations. You can see that the two given equations X plus 10, Y equals 1 23 and two x minus Y equals negative six. Those are in standard form. Uh And we're going to try to solve this system or we are going to solve this system of equations by graphing. And because there was a little graphing calculator, a calculator icon by this problem set, I chose to use an online graphing calculator called Gizmos. It's at gizmos dot com. You can see the screenshot of the completed problem down below, but you could use any graphing calculator that you have access to texas instruments, Casio, whatever works for you. Now, the nice thing about Desmond's dot com is I don't have to convert my equations to slope intercept form. So for other graphing calculators, like the texas instruments, maybe you have a T I 84 ti 84 plus, you need to get your equations into slope intercept form first so we would have to subtract X on both sides first. We're trying to isolate the variable why we always have to enter into that Y equals form. And then we would divide everything by 10. And you could leave this as negative X divided by 10. If you're entering this into your graphing calculator, your T. I remember to put parentheses around any fractions and we could leave this as 123. Mhm. Over 10. So again you would need to be sure that you put some parentheses around your fractions. And remember the goal when we're solving a system of equations. We're looking for this point of intersection. We're looking for that coordinate X. Y. Where the two lines meet. That's the value of X and Y. That would satisfy both equations. If we plug the X. Value and the Y. Value in to both equations, it would make the left side equivalent to the right side. And so you can see when I entered my equations. I could leave them in the Desmond's application, I could leave them in standard form and when we're in Dez mose the nice thing is if you click on either line, the red line or the black line in this case it will give you key points and we would just move our cursor right over that point of intersection to click on it and you can see that the calculator gives you or calculates that point of intersection. The answer for the system is that three comma 12. So if I wanted to check my work, let's say I was doing this manually on a piece of grass paper. What I would want to do is take both equations. Mhm And I would want to just substitute those values in. So the three would go in for the X. The 12 would go in for the Y. I would evaluate this, do my multiplication and then my addition and I would see that the left side is indeed equivalent to the right side. But remember when you're working with the system, that point is also on the black or on the red line. Excuse me, we check the equation for the black line. So we really want to do the exact same thing. Yeah with the equation for the red line. So I would take the three, plug it in for X. The 12 would go in for why evaluate the left side and I see that negative six is indeed equivalent to the right side of negative six.

To sow of a system by putting it into a graphing calculator and then estimating the solution based on the graphic calculator. Right? So the first equation in my system is that the 2nd 1 is your 10.47 x minus 1.26 Why is equal to 3.58? A. So I grabbed him and then I noticed there is my intersection point. So my approximate intersection points wait 18 and minus 180.536

This is a given question that is 14.12 x plus 7.3 to wise equal to 2.98 on 21.88 x, minus 6.45 by is equal to minus seven point. Oh, So what these other given system of equations which we have to solve using graphing calculator. So let us do that for us. We have to click or naps. We'll get it like this then President number four, we have this renewable open click on click on Aniki. We will get this mean you select an option to us. We are doing simultaneous equations. All well, so option. Do we have so selected number of equations given on the number of unknowns on which are desirable and click on next, we will get it in my tricks form. Now we have to indulge the values which are given in the question. This is in the form off X y and the constant constant after the equal to say so in the 1st 1 It is for Dean bind. Why don't you? The content It will fill the first column so simultaneously. We have to follow the other columns also So like I do that so in the first row is the first question and the second row. It is the second question. So after we feel or look away your cells, we have local press on Seoul. So this is the final answer off the given system of equations. We have to round it off to the creditor decimal point. So let us do that. So these other values off extent after we have rounded off the oh under third decimal point. So this is the solution off the coast of some of the equations which we have found using graphing calculator.

Were asked. You were given a system and we have to solve it using the graphing calculator. No, I'm using Desmond's dot com. It's very unequal there. I'm just gonna enter the two equations and then I'm gonna look for the intersection point. So there's my two equations. There's my intersection. Point is 1.685 and 1.309 and Dez most dot com is. It is a free graphing program. So if you don't have a graphing calculator graphing program, I would encourage you to use that.


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