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**ganesh****Administrator**- Registered: 2005-06-28
- Posts: 25,096

Hi;

#5813. 5 pens and 6 pencils together cost $9 and 3 pens and 2 pencils cost $5. Find the cost of 1 pen and 1 pencil separately.

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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**Relentless****Member**- Registered: 2015-12-15
- Posts: 624

Hi (:

For #5812 I agree with bobbym. Substituting ganesh's values into the second equation makes 21 not 35. Probably you solved 7x-y=35 not 7x-2y=35

*Last edited by Relentless (2016-05-01 20:45:14)*

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**ganesh****Administrator**- Registered: 2005-06-28
- Posts: 25,096

Hi;

Solution #5812 : bobbym is right. Conceded. Neat work!

The solution set #5813 is correct. Neat work, Relentless!

#5814. Solve: x + y = 5 and 2x - 3y = 4.

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****Administrator**- Registered: 2005-06-28
- Posts: 25,096

Hi;

The solution set in #5814 is correct. Good work, bobbym!

#5815. Solve: 3x - 5y - 4 = 0 and 9x = 2y + 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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**Relentless****Member**- Registered: 2015-12-15
- Posts: 624

Hey!

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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****Administrator**- Registered: 2005-06-28
- Posts: 25,096

Hi;

The solution set #5815 is correct. Neat work, Relentless and bobbym!

#5816. The Greatest Common Divisor of two numbers is 103 and their Least Common Multiple is 19261. If one of the numbers is 1133, find the other.

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****Administrator**- Registered: 2005-06-28
- Posts: 25,096

Hi;

The solution #5816 is correct. Neat work, bobbym!

#5817. Find the Least Common Multiple and Greatest Common Divisor of the following integers by prime factorization method: 72, 90, 120.

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****Administrator**- Registered: 2005-06-28
- Posts: 25,096

Hi;

The solution #5817 (two parts) are correct. Neat work, bobbym!

#5818. Solve: 15x + 4y = 61 and 4x + 15y = 72.

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****Administrator**- Registered: 2005-06-28
- Posts: 25,096

Hi;

The solution set in #5818 is perfect. Excellent, bobbym!

#5819. Solve:

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****Administrator**- Registered: 2005-06-28
- Posts: 25,096

Hi;

The solution set #5819 is perfect. Magnificent, bobbym!

#5820. Solve for x and y:

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****Administrator**- Registered: 2005-06-28
- Posts: 25,096

Hi;

The solution set in #5820 is correct. Immaculate, bobbym!

#5821. Solve the following system of equations:

35x + 23y = 209,

23x + 35y = 197.

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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**Relentless****Member**- Registered: 2015-12-15
- Posts: 624

Hi

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**ganesh****Administrator**- Registered: 2005-06-28
- Posts: 25,096

Hi;

The solution set #5821 is perfect. Excellent, bobbym and Relentless!

#5822. 3 chairs and 2 tables cost $700; 5 chairs and 3 tables cost $1100. Find the cost of 2 chairs and 2 tables.

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****Administrator**- Registered: 2005-06-28
- Posts: 25,096

Hi;

The solution #5822 is correct. Neat work, bobbym!

#5823. If 2 is added to the numerator of a fraction, it reduces to 1/2 and if 1 is subtracted from the denominator, it reduces to 1/3. Find the fraction.

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****Administrator**- Registered: 2005-06-28
- Posts: 25,096

Hi;

The solution #5823 is correct. Neat work, bobbym!

#5824. Solve for

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

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