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#5501 2017-04-30 17:19:30

bobbym
bumpkin
From: Bumpkinland
Registered: 2009-04-12
Posts: 109,606

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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#5502 2017-05-07 23:42:46

ganesh
Administrator
Registered: 2005-06-28
Posts: 23,467

Re: Oral puzzles

Hi;

The solution #3772 is correct. Neat work, bobbym!

#3773. Find the value of k for which each of the following system of equations have infinitely many solution:
4x + 5y = 3,
kx + 15y = 9.


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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#5503 2017-05-08 03:36:41

bobbym
bumpkin
From: Bumpkinland
Registered: 2009-04-12
Posts: 109,606

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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#5504 2017-05-10 22:20:25

ganesh
Administrator
Registered: 2005-06-28
Posts: 23,467

Re: Oral puzzles

Hi;

The solution #3773 is correct. Neat work, bobbym!

#3774. Find the value of k for which each of the following system of equations have infinitely many solution:
kx - 2y + 6 = 0,
4x - 3y + 9 = 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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#5505 2017-05-18 19:34:30

zetafunc
Moderator
Registered: 2014-05-21
Posts: 2,131
Website

Re: Oral puzzles

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#5506 2017-05-18 22:51:56

ganesh
Administrator
Registered: 2005-06-28
Posts: 23,467

Re: Oral puzzles

Hi;

The solution #3774 is correct. Neat work, zetafunc!

#3775. Find the value of k for which each of the following system of equations have infinitely many solution:
8x + 5y = 9,
kx + 10y = 18.


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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#5507 2017-05-18 23:26:14

zetafunc
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Registered: 2014-05-21
Posts: 2,131
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Re: Oral puzzles

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#5508 2017-05-19 00:26:46

ganesh
Administrator
Registered: 2005-06-28
Posts: 23,467

Re: Oral puzzles

Hi;

The solution #3775 is correct. Good work, zetafunc!

#3776. Find the value of k for which each of the following system of equations have infinitely many solution:
2x - 3y = 7,
(k + 2)x - (2k + 1)y = 3(2k - 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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#5509 2017-05-19 00:49:22

zetafunc
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Registered: 2014-05-21
Posts: 2,131
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Re: Oral puzzles

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#5510 2017-05-19 14:47:59

ganesh
Administrator
Registered: 2005-06-28
Posts: 23,467

Re: Oral puzzles

Hi;

The solution #3776 is correct. Keep it up, zetafunc!

#3777.  Find the value of k for which each of the following system of equations have infinitely many solution:
2x + 3y = 2,
(k + 2)x + (2k + 1)y = 2(k - 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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#5511 2017-05-19 17:27:01

zetafunc
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Registered: 2014-05-21
Posts: 2,131
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Re: Oral puzzles

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#5512 2017-05-19 21:05:51

ganesh
Administrator
Registered: 2005-06-28
Posts: 23,467

Re: Oral puzzles

Hi;

The solution #3776 is correct. Neat work ,zetafunc!

#3778.  Find the value of k for which each of the following system of equations have infinitely many solution:
x + (k + 1)y = 4,
(k + 1)x + 9y = 5k + 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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#5513 2017-05-19 22:07:50

zetafunc
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Registered: 2014-05-21
Posts: 2,131
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Re: Oral puzzles

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#5514 2017-05-19 22:40:27

ganesh
Administrator
Registered: 2005-06-28
Posts: 23,467

Re: Oral puzzles

Hi;

The solution #3778 is correct. Splendid, zetafunc!

#3779.  Find the value of k for which each of the following system of equations have infinitely many solution:
2x + (k - 2)y = k,
6x + (2k - 1)y = 2k + 5.


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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#5515 2017-05-19 23:12:15

zetafunc
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Registered: 2014-05-21
Posts: 2,131
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Re: Oral puzzles

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#5516 2017-05-20 15:06:46

ganesh
Administrator
Registered: 2005-06-28
Posts: 23,467

Re: Oral puzzles

Hi;

The solution #3779 is correct. Neat work, zetafunc!

#3780. Find the value of k for which the following system of equations has no solution:
2x + ky = 11,
5x - 7y = 5.


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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#5517 2017-05-21 14:42:15

Monox D. I-Fly
Member
Registered: 2015-12-02
Posts: 952

Re: Oral puzzles

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#5518 2017-05-21 15:55:49

ganesh
Administrator
Registered: 2005-06-28
Posts: 23,467

Re: Oral puzzles

Hi;

The solution #3780 is correct. Excellent, Monox D. I-Fly!

#3781. For what value of k the following system of equations will be inconsistent?
4x + 6y = 11,
2x + ky = 7.


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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#5519 2017-05-21 18:40:40

zetafunc
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Registered: 2014-05-21
Posts: 2,131
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Re: Oral puzzles

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#5520 2017-05-21 19:17:00

ganesh
Administrator
Registered: 2005-06-28
Posts: 23,467

Re: Oral puzzles

Hi;

The solution #3781 is correct. Neat work, zetafunc!

#3782. Find the value of k for which the system
kx + 2y = 5
3x + y = 1
has (i) a unique solution, and (ii) no solution.


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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#5521 2017-05-21 19:31:47

zetafunc
Moderator
Registered: 2014-05-21
Posts: 2,131
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Re: Oral puzzles

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#5522 2017-05-21 22:02:55

ganesh
Administrator
Registered: 2005-06-28
Posts: 23,467

Re: Oral puzzles

Hi;

The solution #3782 (two parts) is correct. Brilliant, zetafunc!

#3783. Find the value of k for which each of the following systems of equations have infinitely many solution:
kx + 3y = 2k + 1,
2(k + 1)x + 9y = 7k + 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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#5523 2017-05-22 06:48:08

zetafunc
Moderator
Registered: 2014-05-21
Posts: 2,131
Website

Re: Oral puzzles

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#5524 2017-05-22 14:50:13

ganesh
Administrator
Registered: 2005-06-28
Posts: 23,467

Re: Oral puzzles

Hi;

The solution #3783 is correct. Excellent, zetafunc!

#3784. Find the value of k for which each of the following systems of equations have infinitely many solution:
2x + 3y = k,
(k - 1)x + (k + 2)y = 3k.


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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#5525 2017-05-22 20:28:47

zetafunc
Moderator
Registered: 2014-05-21
Posts: 2,131
Website

Re: Oral puzzles

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