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Old 04-23-2011, 12:05 PM   #11
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Default Re: Math Problem (Simple)

x + y = 7.

Solve Please.
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Old 04-23-2011, 01:50 PM   #12
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Default Re: Math Problem (Simple)

You need an equation for every variable.

One equation and 2 variables has an infinite amount of solutions.
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Old 04-23-2011, 01:53 PM   #13
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Default Re: Math Problem (Simple)

Quote:
One equation and 2 variables has an infinite amount of solutions.
Exactly - for that example, give one of the unknowns any real number apart from 0 and you can find another real number (easily) to apply to the other unknown to make the equation work.

Generally speaking, simultaneous equations are needed when you're dealing with more than one unknown.
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Old 04-23-2011, 03:27 PM   #14
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Default Re: Math Problem (Simple)

Quote:
Originally Posted by j03 View Post
x + y = 7.

Solve Please.
Easy
3.5+3.5=7
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Old 04-23-2011, 03:49 PM   #15
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Default Re: Math Problem (Simple)

Quote:
Easy
3.5+3.5=7
You're not getting the point - while that is a solution, it's not the solution - similar to your first problem.

Yes, 3.5+3.5=7. But 1+6=7, 2+5=7, 3+4=7, 6+0.5=7 - ad infinitum.
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Old 04-23-2011, 06:56 PM   #16
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Default Re: Math Problem (Simple)

Basic linear algebra says that any system of equations with more unknown variables than equations has infinite solutions. This is a system of 1 equation with 2 unknown variables. There are infinite solutions to this problem therefore it is degenerate. Go back to middle school and learn algebra.
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Old 04-23-2011, 07:32 PM   #17
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Default Re: Math Problem (Simple)

how about

x + y = 7
and
x + 2y = 10

do you realise how that's different to the question that you asked? because there is more information given by that second equation.

it should be simple enough to do in your head.
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Old 04-23-2011, 07:56 PM   #18
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Default Re: Math Problem (Simple)

x=4 y=3, what do I win?
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Old 04-23-2011, 08:27 PM   #19
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Default Re: Math Problem (Simple)

Give me some eigenvalues and eigenvectors now.

edit: Of the homogeneous system, that is.
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Old 04-23-2011, 08:36 PM   #20
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Default Re: Math Problem (Simple)

pfft, I'm not putting that much time into this. This is Saturday night!
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