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#5476 2017-04-18 15:03:57

ganesh
Moderator
Registered: 2005-06-28
Posts: 22,947

Re: Oral puzzles

Hi;

The solution #3760 is correct. Neat work, bobbym!

#3761. For each of the following sysyem of equations determine the value of k for which the given system has no solution:
3x - 4y + 7 = 0,
kx + 3y - 5 = 0.


It is no good to try to stop knowledge from going forward. Ignorance is never better than knowledge - Enrico Fermi. 

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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#5477 2017-04-18 21:29:16

bobbym
bumpkin
From: Bumpkinland
Registered: 2009-04-12
Posts: 109,418

Re: Oral puzzles

Hi;


In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

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#5478 2017-04-19 15:00:58

ganesh
Moderator
Registered: 2005-06-28
Posts: 22,947

Re: Oral puzzles

Hi;

The solution #3761 is correct. Neat work, bobbym!

#3762. For each of the following sysyem of equations determine the value of k for which the given system has no solution:
2x - ky + 3 = 0,
3x + 2y - 1 = 0.


It is no good to try to stop knowledge from going forward. Ignorance is never better than knowledge - Enrico Fermi. 

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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#5479 2017-04-19 22:56:06

bobbym
bumpkin
From: Bumpkinland
Registered: 2009-04-12
Posts: 109,418

Re: Oral puzzles

Hi;


In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

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#5480 2017-04-20 02:22:51

ganesh
Moderator
Registered: 2005-06-28
Posts: 22,947

Re: Oral puzzles

Hi;

The solution #3762 is correct. Neat work, bobbym!

#3763. For what value of k will the equations x + 2y + 7 = 0, 2x + ky + 14 = 0 represent coincident lines?


It is no good to try to stop knowledge from going forward. Ignorance is never better than knowledge - Enrico Fermi. 

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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#5481 2017-04-20 08:25:07

bobbym
bumpkin
From: Bumpkinland
Registered: 2009-04-12
Posts: 109,418

Re: Oral puzzles

Hi;


In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

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#5482 2017-04-20 13:42:04

ganesh
Moderator
Registered: 2005-06-28
Posts: 22,947

Re: Oral puzzles

Hi;

The solution #3763 is correct. Good work, bobbym!

#3764. For what value of k, will the following system of equations have infinitely many solutions?
2x + 3y = 4,
(k + 2)x + 6y = 3k + 2.


It is no good to try to stop knowledge from going forward. Ignorance is never better than knowledge - Enrico Fermi. 

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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#5483 2017-04-20 23:26:08

bobbym
bumpkin
From: Bumpkinland
Registered: 2009-04-12
Posts: 109,418

Re: Oral puzzles

Hi;


In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

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#5484 2017-04-21 14:50:21

ganesh
Moderator
Registered: 2005-06-28
Posts: 22,947

Re: Oral puzzles

Hi;

The solution #3764 is correct. Neat work, bobbym!

#3765. Determine the values of a and b for which the following system of equations has infinite solutions:
2x - (a - 4)y = 2b + 1,
4x - (a - 1)y = 5b - 1.


It is no good to try to stop knowledge from going forward. Ignorance is never better than knowledge - Enrico Fermi. 

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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#5485 2017-04-21 16:35:09

bobbym
bumpkin
From: Bumpkinland
Registered: 2009-04-12
Posts: 109,418

Re: Oral puzzles

Hi;


In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

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#5486 Yesterday 14:55:04

ganesh
Moderator
Registered: 2005-06-28
Posts: 22,947

Re: Oral puzzles

Hi;

The solution #3765 (two parts) is correct. Neat work, bobbym!

#3766. Determine the values of m and n so that the following system of linear equations have infinite number of solutions:
(2m - 1)x + 3y - 5 = 0,
3x + (n - 1)y - 2 = 0.


It is no good to try to stop knowledge from going forward. Ignorance is never better than knowledge - Enrico Fermi. 

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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