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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 #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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**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 #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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**LearnMathsFree: Videos on various topics.New: Integration Problem | Adding FractionsPopular: Continued Fractions | Metric Spaces | Duality**

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

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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**LearnMathsFree: Videos on various topics.New: Integration Problem | Adding FractionsPopular: Continued Fractions | Metric Spaces | Duality**

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

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).

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

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

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).

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

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

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.

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

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

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.

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

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

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.

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

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**Monox D. I-Fly****Member**- Registered: 2015-12-02
- Posts: 760

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

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.

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

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

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.

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

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

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.

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

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

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.

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

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