anonymous
  • anonymous
Write a linear system that models the situation. The sum of two numbers is 14. Their difference is 10. I got 2+12 = 14. Help? I suck at this...
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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anonymous
  • anonymous
Okay I'm stumped.
anonymous
  • anonymous
Does the problem call for you to solve it?
anonymous
  • anonymous
I don't think so. It just says model the situation as a linear equation..

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anonymous
  • anonymous
Maybe it's just x + y = 14
anonymous
  • anonymous
As a linear "system"?
anonymous
  • anonymous
Yes.
anonymous
  • anonymous
A system of equations has more than one equation.
anonymous
  • anonymous
That's why I don't understand this...It's weird.
anonymous
  • anonymous
The term linear refers to the variables having no exponents. So, it's asking you to write those two equations using x and y
anonymous
  • anonymous
Don't you mean no coefficients?
anonymous
  • anonymous
Your first answer, X + Y = 14 is correct. You need to turn the Something minus something = 10 into a equation
anonymous
  • anonymous
Oh.
anonymous
  • anonymous
Uh x -y = 10
anonymous
  • anonymous
Bam. That's it! X + Y = 14 X - Y = 10
anonymous
  • anonymous
Wow...
anonymous
  • anonymous
And yup, a linear equation has no exponents. All of it's variables are to the first power.
anonymous
  • anonymous
Damn I'm stupid
anonymous
  • anonymous
I always think the problem is going to be hard, but it's hella easy.
anonymous
  • anonymous
Thank You once...again.
anonymous
  • anonymous
You're welcome. Also, Don't ever call yourself stupid, because you're not. Don't sell yourself short. If you keep telling yourself your stupid, you'll eventually believe it.
anonymous
  • anonymous
I'm stupid on this one question.
anonymous
  • anonymous
:P
anonymous
  • anonymous
Okay now I'm stuck again.
anonymous
  • anonymous
What is an equation for one CD costing $2 more than the other? Do you know? >-<
anonymous
  • anonymous
Well, the first step is to assign variables, right?
anonymous
  • anonymous
You told me CDA = CD2 + $2, right?
anonymous
  • anonymous
Well both of the two Cds equal $28
anonymous
  • anonymous
We can use mathematics to describe relationships between things
anonymous
  • anonymous
Yes.
anonymous
  • anonymous
What's the whole question?
anonymous
  • anonymous
You buy two CDs for a total of $28. One CD cost $2 more than the other.
anonymous
  • anonymous
-_- XC Bahh. I can't answer it.
anonymous
  • anonymous
? Sure you can.
anonymous
  • anonymous
It's asking you to write another system of equations, right?
anonymous
  • anonymous
Yeah.
anonymous
  • anonymous
First off, what's in a system of equations? What is it? And why do we use it?
anonymous
  • anonymous
We try to find the values of the unknown?
anonymous
  • anonymous
A system of equations is a list of equations. It has several equations, usually with more than one variable
anonymous
  • anonymous
Are you still here?
anonymous
  • anonymous
Yes.
anonymous
  • anonymous
Okay. We use a system of equations to help solve for more than one variable.
anonymous
  • anonymous
Okay.
anonymous
  • anonymous
With one equation, X + Y = 12, it's impossible to find what X and Y are. Can you tell me why?
anonymous
  • anonymous
Please tell me why. ^^
anonymous
  • anonymous
Because we need a real number. You can't just solve it with variables?
anonymous
  • anonymous
Nope. Try graphing it
anonymous
  • anonymous
You can't.
anonymous
  • anonymous
unless you make up the numbers..
anonymous
  • anonymous
Variables exist within an equation, so we can put numbers in.
anonymous
  • anonymous
I think what you mean, is that there is an infinite amount of solutions, right?
anonymous
  • anonymous
Yeah..pretty much.
anonymous
  • anonymous
In the equation (X+Y = 12), if X = 3, than Y = 9, if X is 10, than Y is 2, and so on
anonymous
  • anonymous
You can graph these points, and it makes a straight line. The straight line represents all of the answers that work in the equation.
anonymous
  • anonymous
Okay. Are you telling me then I can find the slope...? rise/run right?
anonymous
  • anonymous
The slope is a tool. It helps us graph the line, and it tells us how quickly it goes up or down. I'm explaining this to you, because I don't think you completely grasp graphing, or equations yet.
anonymous
  • anonymous
I know how to graph equations.
anonymous
  • anonymous
I usually use y=mx + b
anonymous
  • anonymous
I then graph it from there, or there are other forms I can graph from like standard form or point-slope form.
anonymous
  • anonymous
I undestand that you can graph. But do you understand why you graph?
anonymous
  • anonymous
Why do we graph?
anonymous
  • anonymous
We graph for a couple of reasons.
anonymous
  • anonymous
First off, pictures are easier to understand than really complicated formulas
anonymous
  • anonymous
True,
anonymous
  • anonymous
Next, with a graph, we can solve equations that we don't know the answer of
anonymous
  • anonymous
Equations? That's only useful for math! But, remember what I said? We use math to describe how things are related
anonymous
  • anonymous
I'm going to give you two equations, and I want you to graph them, okay? When you graph them, you should be able to get the answer without doing any algebra.
anonymous
  • anonymous
You need to just plug in a few points, and then plot them.
anonymous
  • anonymous
X + Y = 12, and X - Y = 5
anonymous
  • anonymous
Graph them on the same graph.
anonymous
  • anonymous
(If that makes any sense :) )
anonymous
  • anonymous
Yeah it does. You can solve linear systems by substitution or graphing or elimination..
anonymous
  • anonymous
Yup.
anonymous
  • anonymous
Okay it's 2:08am. It's not hat I want to not learn, but I need to goto sleep now. Thanks for the lecture.
anonymous
  • anonymous
If you graph the two lines, they should intersect at only one point. That's the only answer that's correct.
anonymous
  • anonymous
:D
anonymous
  • anonymous
For your question, you need to write a system of equations.
anonymous
  • anonymous
Yeah they intersect, but I still think substitution is the easiest way out of all the methods I've learned.
anonymous
  • anonymous
It's the fastest. With the more complicated math, you'll suddenly love graphing
anonymous
  • anonymous
What itf you can't draw lines that well?
anonymous
  • anonymous
Erm, substitution is. And, the lines don't have to be perect.Anyway, You buy two CDs for a total of $28. One CD cost $2 more than the other.
anonymous
  • anonymous
also I know I have to write linear systems but I only think I have to write two.
anonymous
  • anonymous
x + y = 28 I know that's one.
anonymous
  • anonymous
I think the other is 2 - y ...
anonymous
  • anonymous
One CD + 2 = another CD, right?
anonymous
  • anonymous
Just substitute the variables
anonymous
  • anonymous
No the total cost of the two equals 28 dollars.
anonymous
  • anonymous
I don't need to solve it..
anonymous
  • anonymous
Yeah. But the 2nd clause says that one cd costs two more dollars than the other
anonymous
  • anonymous
That's an equation.
anonymous
  • anonymous
Oh I wrote an expression..
anonymous
  • anonymous
Oh I wrote an expression..
anonymous
  • anonymous
Oh I wrote an expression..
anonymous
  • anonymous
?
anonymous
  • anonymous
X + 2 = Y. Truthfully, it doesn't matter what variable +2 = the other variable.
anonymous
  • anonymous
Must be a glitch
anonymous
  • anonymous
Anyway, I'm sorry I wasn't the most helpful for the equation. God bless with your mathematic endeavors, and good night.
anonymous
  • anonymous
Okay
anonymous
  • anonymous
Ashag, are you still here? If so, go to your latest problem, and I"ll take a crack at it

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