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

ganesh
Administrator
Registered: 2005-06-28
Posts: 23,295

### 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: 109,606

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

ganesh
Administrator
Registered: 2005-06-28
Posts: 23,295

### 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: 109,606

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

ganesh
Administrator
Registered: 2005-06-28
Posts: 23,295

### 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: 109,606

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

ganesh
Administrator
Registered: 2005-06-28
Posts: 23,295

### 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: 109,606

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

ganesh
Administrator
Registered: 2005-06-28
Posts: 23,295

### 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: 109,606

### 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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## #5486 2017-04-22 14:55:04

ganesh
Administrator
Registered: 2005-06-28
Posts: 23,295

### 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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## #5487 2017-04-23 14:38:20

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.

Offline

## #5488 2017-04-23 18:43:32

ganesh
Administrator
Registered: 2005-06-28
Posts: 23,295

### Re: Oral puzzles

Hi;

The solution set in #3766 is perfect. Excellent, bobbym!

In each of the following system of equations determine whether the system has a unique solution, no solution or infinitely many solutions.
In case there is a unique solution, find it:
x - 3y = 3,
3x - 9y = 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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## #5489 2017-04-24 01:45:51

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.

Offline

## #5490 2017-04-24 15:12:51

ganesh
Administrator
Registered: 2005-06-28
Posts: 23,295

### Re: Oral puzzles

Hi;

The solution #3767 is correct. Neat work, bobbym!

#3768. In each of the following system of equations determine whether the system has a unique solution, no solution or infinitely many solutions.
In case there is a unique solution, find it:
(i) 2x + y = 5,
4x + 2y = 10.

(ii) x - 2y = 8,
5x - 10y = 10.

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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## #5491 2017-04-24 15:51:06

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.

Offline

## #5492 2017-04-25 00:17:22

ganesh
Administrator
Registered: 2005-06-28
Posts: 23,295

### Re: Oral puzzles

Hi;

The solution #3768 (two parts) is correct. Keep it up, bobbym!

#3769. Find the value of k for which the following system of equations has a unique solution:
kx + 2y = 5,
3x + y = 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.

Offline

## #5493 2017-04-25 01:37:20

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.

Offline

## #5494 2017-04-26 16:22:30

ganesh
Administrator
Registered: 2005-06-28
Posts: 23,295

### Re: Oral puzzles

Hi;

The solution #3769 is correct. Keep it up, bobbym!

#3770. Find the value of k for which the following system of equations has a unique solution:
4x + ky + 8 = 0,
2x + 2y + 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.

Offline

## #5495 2017-04-27 02:34:30

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.

Offline

## #5496 2017-04-27 13:52:04

ganesh
Administrator
Registered: 2005-06-28
Posts: 23,295

### Re: Oral puzzles

Hi;

The solution #3769 is correct. Good work, bobbym!

#3770. Find the value of k for which the following system of equations has a unique solution:
4x - 5y = k,
2x - 3y = 12.

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.

Offline

## #5497 2017-04-27 14:51:05

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.

Offline

## #5498 2017-04-28 16:41:27

ganesh
Administrator
Registered: 2005-06-28
Posts: 23,295

### Re: Oral puzzles

Hi;

The solution #3770 is correct. Excellent, bobbym!

#3771.  Find the value of k for which the following system of equations has a unique solution:
x + 2y = 3,
5x + ky + 7 = 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.

Offline

## #5499 2017-04-29 18:10:34

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.

Offline

## #5500 2017-04-30 14:13:38

ganesh
Administrator
Registered: 2005-06-28
Posts: 23,295

### Re: Oral puzzles

Hi;

The solution #3771 is correct. Neat work, bobbym!

#3772. Find the value of k for which each of the following system of equations have infinitely many solution:
2x + 3y - 5 = 0,
6x + ky - 15 = 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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