Discussion about math, puzzles, games and fun.   Useful symbols: ÷ × ½ √ ∞ ≠ ≤ ≥ ≈ ⇒ ± ∈ Δ θ ∴ ∑ ∫  π  -¹ ² ³ °

You are not logged in.

## #5451 2017-04-11 22:33:06

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

## #5452 2017-04-12 01:11:12

ganesh
Registered: 2005-06-28
Posts: 25,914

### Re: Oral puzzles

Hi;

The solution set #3749 is correct. Excellent, bobbym!

#3750. Solve:
2(3u - v) = 5uv,
2(u + 3v) = 5uv.

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

## #5453 2017-04-12 03:15:46

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

## #5454 2017-04-12 10:57:58

ganesh
Registered: 2005-06-28
Posts: 25,914

### Re: Oral puzzles

Hi;

The two solution sets in #3750 are correct. Neat work, bobbym!

#3751. Solve for x and y:

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

## #5455 2017-04-12 15:35:06

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

## #5456 2017-04-12 16:45:51

ganesh
Registered: 2005-06-28
Posts: 25,914

### Re: Oral puzzles

Hi;

The solution set in #3751 is correct. Neat work, bobbym!

#3752. Solve for x and y:
23x - 29y = 98,
29x - 23y = 110.

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

## #5457 2017-04-12 19:44:22

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

## #5458 2017-04-12 23:51:17

ganesh
Registered: 2005-06-28
Posts: 25,914

### Re: Oral puzzles

Hi;

The solution set in #3752 is correct. Neat work, bobbym!

#3753. Solve for x, y, and z:
x - y + z = 4,
x - 2y - 2z = 9,
2x + y + 3z = 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

## #5459 2017-04-13 13:49:44

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

## #5460 2017-04-13 14:08:23

ganesh
Registered: 2005-06-28
Posts: 25,914

### Re: Oral puzzles

Hi;

The solution #3753 is correct. Excellent, bobbym!

#3754. Solve:
x - y + z = 4,
x + y + z = 2,
2x + y - 3z = 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

## #5461 2017-04-13 14:13:44

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

## #5462 2017-04-13 23:33:30

ganesh
Registered: 2005-06-28
Posts: 25,914

### Re: Oral puzzles

Hi;

The solution #3754 is perfect. Keep it up, bobbym!

#3755. Determine the value of k for which the given system of equations has a unique solution:
x - ky = 2,
3x + 2y = -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.

Offline

## #5463 2017-04-14 07:45:35

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

## #5464 2017-04-14 14:29:47

ganesh
Registered: 2005-06-28
Posts: 25,914

### Re: Oral puzzles

Hi;

The solution #3755 is correct. Good work, bobbym!

#3756. Determine the value of k for which the given system of equations has a unique solution:
2x - 3y = 1,
kx + 5y = 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.

Offline

## #5465 2017-04-14 17:35:59

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

## #5466 2017-04-14 22:22:45

ganesh
Registered: 2005-06-28
Posts: 25,914

### Re: Oral puzzles

Hi;

The solution #3756 is correct. Good work, bobbym!

#3757. Determine the value of k for which the given system of equations has a unique solution:
2x + 3y - 5 = 0,
kx - 6y - 8 = 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

## #5467 2017-04-15 06:12:38

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

## #5468 2017-04-15 15:57:08

ganesh
Registered: 2005-06-28
Posts: 25,914

### Re: Oral puzzles

Hi;

The solution #3757 is correct. Neat work, bobbym!

#3758. Determine the value of k for which the given system of equations has a unique solution:
2x + ky = 1,
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.

Offline

## #5469 2017-04-16 00:32:39

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

## #5470 2017-04-16 15:09:37

ganesh
Registered: 2005-06-28
Posts: 25,914

### Re: Oral puzzles

Hi;

The solution #3758 is correct. Good work, bobbym!

#3759. For each of the following system of equations determine the value of k for which the given system of equations has infinitely many solutions:
5x + 2y = k,
10x + 4y = 3.

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

## #5471 2017-04-17 08:08:18

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

## #5472 2017-04-17 15:22:49

ganesh
Registered: 2005-06-28
Posts: 25,914

### Re: Oral puzzles

Hi;

The solution #3758 is correct. Neat work, bobbym!

#3759. For each of the following system of equations determine the value of k for which the given system of equations has infinitely many solutions:
(k - 3)x + 3y = k,
kx + ky = 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

## #5473 2017-04-17 23:54:04

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

## #5474 2017-04-18 02:48:32

ganesh
Registered: 2005-06-28
Posts: 25,914

### Re: Oral puzzles

Hi;

The solution #3759 is correct. Neat work, bobbym!

#3760.  For each of the following system of equations determine the value of k for which the given system of equations has infinitely many solutions:
kx + 3y = k - 3,
12x + ky = k.

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

## #5475 2017-04-18 11:25:23

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