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**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 23,045

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

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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**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 23,045

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

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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**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 23,045

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

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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**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 23,045

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.

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

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

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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**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 23,045

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.

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

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

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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**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 23,045

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.

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

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

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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**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 23,045

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.

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

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

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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**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 23,045

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.

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

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

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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**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 23,045

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.

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

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

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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**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 23,045

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.

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

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

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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**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 23,045

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.

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

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

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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**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 23,045

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.

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

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

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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**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 23,045

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.

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

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