01-22-2002, 02:07 PM | #1 |
Dracolisk
Join Date: March 21, 2001
Location: Europe
Age: 39
Posts: 6,136
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Ok, this is my problem. I need to calculate where two lines cross in a graphic, I have the formula of each line. For instance:
H= 0.8*P and H=0.3*P+5. So we have a method named switching, note how I switch some numbers: 0.8*p= 0.3*P+5 becomes 0.8P*0.3P=5 0.8P*0.3P=0.5 while 5 remains 5. 5:0.5=10 So now we fill it in in the original formulas: 0.8*10=8 0.3*10+5=8 So the crossing point lies at 10,8. But for some reason this doesnt work with other simulair questions like: 2x-10=4x-24 or 3+0.25p=p+9. can anyone help me out? |
01-22-2002, 02:31 PM | #2 |
Dracolisk
Join Date: March 21, 2001
Location: Europe
Age: 39
Posts: 6,136
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Anyone?
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01-22-2002, 02:48 PM | #3 |
Banned User
Join Date: March 1, 2001
Location: New Jersey
Posts: 999
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quote: I can't help, but These guys might be able to. They are one of the companies, my company is affiliated with. Hope this helps!! |
01-22-2002, 02:55 PM | #4 |
Takhisis Follower
Join Date: April 30, 2001
Location: szép Magyarország (well not right now)
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Your method looks pretty wrong to me, and I don't know why you use H and P instead of the standard x and y.
if you have y = 0.8x and y = 0.3x + 5 then simply set the two equations equal to each other as you have done: 0.8x = 0.3x +5 subtract 0.3x from both sides gives you: 0.5x = 5 then divide both sides by 0.5 to give you x = 10 then substitute x = 10 into say the first equation: so y = 0.10) =8 sp y is 8 and x is 10. Check your answer by substituting into the 2nd equation: 8 = 0.3(10) + 5 = 8 it works so you know 100% sure that you are correct. So the lines cross at the point (10,8) as you said....this method works for ANY pair of simultaneos equations with 2 unknowns. If you have 3 unknowns you need 3 equations etc. [ 01-22-2002: Message edited by: Vaskez ]
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Too set in his ways to ever relate If he could set that aside, there'd be heaven to pay But weathered and aged, time swept him to grave Love conquers all? Damn, I'd say that area's gray |
01-22-2002, 03:46 PM | #5 |
Dracolisk
Join Date: March 21, 2001
Location: Europe
Age: 39
Posts: 6,136
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Thanks alot mates, you really helped me out.
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01-22-2002, 04:03 PM | #6 |
Guest
Posts: n/a
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Vaskez used the method I would have too.
Simultaneous equations, old boy |
01-22-2002, 04:14 PM | #7 |
White Dragon
Join Date: October 19, 2001
Location: York, UK.
Age: 41
Posts: 1,815
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It takes me back! I was doing those with 6 variables before the summer. I am so glad I am not continuing maths at that standard as it would have killed me.
But yeah, Vaskez has it right. Just substitute and it all falls into place. It should all make sense quite easily if you actually think of what the equations mean mathmatically.
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[img]\"http://img1.ranchoweb.com/images/sproutman/certwist.gif\" alt=\" - \" /><br /><br /><i>\"And the angels all pallid and wan,<br />Uprising, unveiling, affirm,<br />That the play is the tragedy, man,<br />And its hero the Conquerer Worm.\"</i><br /> - Edgar Allan Poe |
01-22-2002, 04:30 PM | #8 |
Elminster
Join Date: January 4, 2002
Location: New York
Posts: 415
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Hmmm? *Scratches head*
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01-22-2002, 05:20 PM | #9 |
Takhisis Follower
Join Date: April 30, 2001
Location: szép Magyarország (well not right now)
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quote: Hehe, I hope Dreamer never has to do some of the things I'm doing now....Laplace transforms, Sturm-Liouville Systems, Fourier Series, Bode plots and Nyquist Diagrams, Root Locus plots aghhh!
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Too set in his ways to ever relate If he could set that aside, there'd be heaven to pay But weathered and aged, time swept him to grave Love conquers all? Damn, I'd say that area's gray |
01-23-2002, 02:55 AM | #10 |
Red Dragon
Join Date: December 5, 2001
Location: Auckland, New Zealand
Age: 38
Posts: 1,557
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quote: What are you doing at the moment Vaskez? I want to do maths when I leave school (soon) and we do certainly not do that at school. [img]smile.gif[/img] |
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