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#101 Help Me ! » Solving Equations using the elimination method. Help! » 2012-07-04 04:35:34

SlowlyFading
Replies: 53

Hello everybody,

I need the answers to 5 problems and how exactly you got that answer using the elimination method. I want to understand how to do these!

The Questions:
10.   y = (2/3)x - 1
        y = -x + 4

11.   x + y = 0
       3x + y = -4

12.  4x + 3y = -15
       y = x + 2

13.   x + 2y = -4
      4y = 3x + 12

14.   y = 2x
       x + y = 3


Thanks! <3

#102 Re: Help Me ! » Follow-up on my last post » 2012-06-27 08:12:59

Okay BobbyM, thanks a lot for all the help!
I'm sure I got annoying at times and as you can see math isn't my strong-point, nonetheless thanks!

#103 Re: Help Me ! » Follow-up on my last post » 2012-06-27 07:57:37

Cool, thank you! One last question,  "If this trend continues, what will Sam's bill be in July?"

So, I need to change 

(x1, y1) = (1, 115)
(x2, y2) = (5, 83)

to

(x1, y1) = (1, 115)
(x2, y2) = (7, 83)

And then do the same thing?

#104 Re: Help Me ! » Follow-up on my last post » 2012-06-27 07:47:47

It was an accident, it's supposed to be there. (y - 115) = -8 (x - 1)

#109 Re: Help Me ! » Follow-up on my last post » 2012-06-27 07:25:05

It reduces down to -0.125 I believe.

#111 Re: Help Me ! » Follow-up on my last post » 2012-06-27 07:13:08

Okay, so then it's:

(x1, y1) = (1, 115)
(x2, y2) = (5, 83)

#112 Re: Help Me ! » Follow-up on my last post » 2012-06-27 07:06:16

But then that's only (x1, x2) not (x1, x2) and (y1, y2)?

#113 Re: Help Me ! » Follow-up on my last post » 2012-06-27 05:20:53

I thought we had to break 1,115 into two points? And the same with 5,83

#114 Re: Help Me ! » Follow-up on my last post » 2012-06-27 04:39:46

(x1, x2,) = (1, 115)
(y1, y2) = (5, 83)

How's that?

#115 Re: Help Me ! » Follow-up on my last post » 2012-06-27 04:20:22

This is the formula my lesson uses:

Example 1: Find the equation of the line through the points (2, -1), (-4, 3)
First, find the slope as we did in lesson 11.
(y2 - y1)
(x2 - x1)
(3 - -1)
(-4 - 2)
(4)
(-6)
So our slope is -2/3

Next, pick one of the points (either one will do) to put into the equation y -k = m(x - h). Be sure to change the signs of the coordinates.

y + 1 = -2/3(x - 2

#116 Re: Help Me ! » Follow-up on my last post » 2012-06-27 04:15:26

The y2 83 from the second set of coordinates.

#117 Re: Help Me ! » Follow-up on my last post » 2012-06-27 04:08:35

Yes I understand where the y1 went, at least i think I do. You put it in so you could subtract it from the 83 right?

#118 Re: Help Me ! » Follow-up on my last post » 2012-06-27 03:59:29

That's the formula I used. I subtracted 83 - 115 and got -32, and subtracted 5 - 1 and got -2.

#119 Re: Help Me ! » Follow-up on my last post » 2012-06-27 03:50:24

So the point-slope form is y + 115 = -32/-2(x - 1) I believe.

#120 Re: Help Me ! » Follow-up on my last post » 2012-06-27 03:27:11

Won't I also need to use the other set of coordinates as well? (x2, y2) = (5, 83)

#124 Re: Help Me ! » Follow-up on my last post » 2012-06-27 03:13:40

y1 would be the second number in the coordinates so also 1?

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