solve-each-system-beginaligned006-x-004-yz-6-3-x-2-y50-z-300-003-x-002-y05-z-3endaligned

Question

Solve each system.

$$\begin{aligned}0.06 x-0.04 y+z &=6 \3 x-2 y+50 z &=300 \0.03 x-0.02 y+0.5 z &=3\end{aligned}$$

Jake Zanazzi · Accepted Answer

All right. So you were gonna be given a system that is also multiples of each other t six, and then we have 50 times. This equation is gonna be three x do I 50 z equals 300 then were given 1/2 of the first equation. So point of three acts by this point, there are two y plus 1/2 Z equals three. So again, you should pretty quickly recognizes they&#x27;re gonna be infinitely many solutions. Since all of these equations air just the same equation, manipulated a little bit, multiplied by different number to sell for one equation, you just plug in zero for Axl, I Z is gonna equal 6006 is an example.

Wesley Hines · Answer

were asked to solve the falling system of X plus y plus Z is equal to 9000 and 0.5 x plus 0.6 Why plus 0.9 z is equal to 7 10 and that Z is equal to three y now. The first thing you want to notice is that this third equations equals 23 Why is kind of a gimme? That makes the question easier? Because we don&#x27;t have three unique equations. We have Z equals three y, which we can immediately substitute into our other equations. To get that X plus y plus three y equals 9000 and 0.5 x plus 0.6 Why plus 0.27 uh, Z. Why is you go to 7 10 and we still have Zico&#x27;s three wide. So now we have two equations in two variables, and this could be solved like, um, the same. We have three systems is just We have one less variable, which would make it easier on us. So now we need to solve fry their X or Y, and we can do this by using the first equation and saying an equal to X so doing this, I will give that X Plus four y is equal to 9000 and tracking the four My over will give The X is equal to 9000 minus four. Why, You know, we can substitute 9000 minus for Why? Into the equation. We got rights here to solve for what? Why is equal to so this will give 0.5 times nine K minus four wife plus 0.33 Why is equal to seven ton and solving for this will give 0.3 point 13 Why is equal to 7 10 minus 450 which will give that Why is you go to 2000 and because Z is equal to three y and we now know that why is he going 2000 we can immediately solve for Z Z will be equal to three times 2000. We should give a value of 6000. So now we have wise You go to 2000 and zeros of 6000. And like with all previous system equations, once we solve for two variables, we can plug both those rebels into any of the three systems that contain all three variables to solve the problem. So doing this with the previous system he came up with, um X plus four y equals 9000. We have X Plus four y is equal to 9000. So for times 2000 and 8000 which tells us that X is equal to 1000. So the ah solution to this particular system is X is equal to 1000. Why is you go to 2000 and Z is equal to sick?

Jake Zanazzi · Answer

that&#x27;s your area of the system. Abrasions 0.1 acts plus 0.0 e y minus Point here for Z equals three five x for why minus two Z equals 1 50 for three acts plus 0.24 y minus 0.1 to z equals not so you could see is that these equations are all fact multiples of each other as well. She will play his first equation by 50. You&#x27;re going to get the second equation. You multiply this first equation by three, you&#x27;re gonna get the third equation. Therefore, we know that they&#x27;re infinitely many solutions. That&#x27;s all. For one, the solution book 1,000,000,000 0 for y and Z, you get five acts equals 1 50 therefore X is gonna equal 30 30 0 No. 30 00 is a valid solution that you comply got into this first and third equation and you&#x27;ll get ah, that it is valid solution as well

Wesley Hines · Answer

So you&#x27;re looking to solve the following system of equations being that X plus y plus C is equal to 200,000 and that 0.9 x plus 0.8 Why plus points one to Z is he able to 20,200 and that Z is equal to X plus y. Now the first thing we can notice here is that Z being you would x plus y in Equation three and X plus y plus receiving over 200,000 are very similar. So if we substitute in, this is the value for X plus y plus C. We will get that experts y plus X plus y is equal to 200,000 and this will be equal to two experts to I. So we can divide the common factor of two out from both sides and this would give the X Plus y is equal to 100,000. Well. Z is equal exports. Why and X plus y equals 100,000. That&#x27;s enough to tell us that Z is 100,000. Although that&#x27;s useful. We saw the variable very quickly. We still have to solve for X and Y So we know off of the first equation that experts why is you go to 100,000 we can you substitution to try and in equation to to try and, um sold for either X or y. So doing this, we&#x27;ll give 0.9 x plus 0.8 wife at this 0.12 going to be substituting to see from equation three so x plus y. And as you go to 20,200 so point to one X plus point to why is equal to 20,200. And then we have this equation and the other equation of X plus y is equal to 100,000. We can use this to solve for either X or y, because this bottom equation tells us that X is equal to 100,000 minus y, and we conception to that into the equation above. And this will give that point to one times 100,000 minus y plus point to why is equal to 20,200. Uh, solving for this will give that 2100. Why 2100 minus point to one y plus point to I is you go to 20,200 and this will give that 0.1 Why is equal to 800? What you give that why is equal to 80,000? Well, if Z is equal to X plus y and Z is 100,000 which is ableto X plus 80,000 or than X must be 20,000. So this will give us a system that has a solution of X equals 20,000. Why equals 80,000 and Z equals X plus y, which is 100,000.

Tony Ni · Answer

All right, This is a question 127. You know, expression. We&#x27;re gonna solve a system recreation. But before we do, does that tie? When the change this system into something work, been more recognize it. So in the first division, numbers from the motel, everything by 12 to get rid of the correction part. So that is for market bracket X minus one plus through rocket wife us through us to breakfast. Last two equals to one. Next, we&#x27;re gonna expand the brackets and color code like terms. So the four x minus for us three wipe last nine was to zag bus for close to one recollect order very courtroom together that it&#x27;s four x plus three. Why, last Tuesday? Because to. So that&#x27;s fine. Nine. That is, in a bit then. And it was then the 2nd 1 This poor X plus three. Why minus choose Because to 11 and the last one to get rid of the decimal places someone more Paris in by 1000 that will become 20 the becomes 20 x plus 13. Why minus 10 equals 60. I can see there&#x27;s a common factor of five. Some wood for everything but five. That&#x27;s four ax plus three. Why, Myers Tuesday? Because to 13. Okay. See, You know, this is a question report. All right, 36. But the thing is, I can see that number five and number six has the same equation part but numerical values different. So that means these two are contradictions. Contradict each other, contradict each other. Therefore, there is no solution to just system recorder.

Tony Ni · Answer

um this is question 119 but with something this system acreage in using elimination. But forward to that. Additionally, our number injured workers by multiplying everything pretend, and this will give us our backs. And that&#x27;s probably why ministry said equals to one country and your ex minus y minus sarees. That crystal 1.1 on then must need to x state way minus nine said occurs to dig those street point. Listen who&#x27;s number four 56 Using putting 1/4 I can get about said you take them before my fire, I should end up getting thanks modernist or why I trusted you. If I take a question, Number four have device. Really? And then when it&#x27;s the rage in number six, also get a true But why? But that is 15 of us for a little. That&#x27;s 15. Next, when the shifting Why minus nine. That you closed history by night minus two X minus eight way one last nine dead. You&#x27;re questioning this week too? This gives us 13 X minus several one. You must too. This is but so that is 7.1. Okay, so that is the question number seven. I was in a bit, but you&#x27;re seeing which number seven Number eight by sub seven By searching for 13 on depression Wisam and I Mine s division away, that is 13 x, my nose 52. Why? Because to ST Not sure. Searching times open two. That&#x27;s 2.6. Let&#x27;s say that Sertys. Next witness 71 because 7.1. That gives me thing with 22 minus thing the sevens. When that iss negative 40 Try one because no one checks minus one. That is All right. So why those 2.1? Plug that into you. Question number seven so X minus or crack that zoom one. But I don&#x27;t want to. Well, that is X minus still point or one. So they&#x27;re open to actually close to zero sex and the if applicable. So these values into equation number 45 or six times in the equation number for bracket 0.6 minus 0.1 said so what? One that is 2.4 minus 0.1 Ministries said, because you want one. So the best reason to the important one minus thing that will open one minus 2.4. Yes. 12 negative. Want one too? And I will give us equals to 01 And my final answer is going to be 3.6. You want one? Do you want?

Problem

Use a calculator to solve each system. $$\begin{…

Problem 40 Medium Difficulty

Solve each system.

$$\begin{aligned}0.06 x-0.04 y+z &=6 \\3 x-2 y+50 z &=300 \\0.03 x-0.02 y+0.5 z &=3\end{aligned}$$

Answer

$\{(x, y, z): 3 x-2 y+50 z=300\}$

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$\{(x, y, z): 3 x-2 y+50 z=300\}$

Algebra for College Students

Grace H.

Alisa L.

Shubham P.

Martha R.

Solving Absolute Value Inequalities

Rewrite Equations and Formulas - Example 2

Mark DugopolskiAlgebra for College Students

Grace H.

Alisa L.

Shubham P.

Martha R.

Mark Dugopolski

Algebra for College Students