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Hi;
The solution set in #6145 is correct. Neat work, bobbym!
#6146. Solve for x and y:
ax + by = a - b,
bx - ay = a + b.
It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.
Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.
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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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Hi;
The solution set in #6146 is correct. Neat work, bobbym!
#6147. Find the values of a and b for which the following system of equations has infinitely many solutions:
(2a - 1)x - 3y = 5;
3x + (b - 2)y = 3.
It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.
Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.
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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
Hi;
The solution set in #6147 is correct. Neat work, bobbym!
#6148. Find the values of a and b for which the following system of equations has infinitely many solutions:
2x - (2a + 5)y = 5,
(2b + 1)x - 9y = 15.
It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.
Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.
Offline
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
Hi;
The solution set in #6148 is correct. Neat work, bobbym!
#6149. Find the values of a and b for which the following system of equations has infinitely many solutions:
(a - 1)x + 3y = 2,
6x + (1 - 2b)y = 6.
It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.
Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.
Offline
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
Hi;
The solutions in #6149 are correct. Neat work, bobbym!
#6150. Find the value of k for which the following system of equations has no solution:
kx - 5y = 2,
6x + 2y = 7.
It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.
Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.
Offline
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
Hi;
The solution #6150 is correct. Good work, bobbym!
#6151. Find the value of k for which the following system of equations has no solution:
x + 2y = 0,
2x + ky = 5.
It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.
Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.
Offline
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
Hi;
The solution #6151 is correct. Good work, bobbym!
#6152. Find the value of k for which the following system of equations has no solution:
3x - 4y + 7 = 0,
kx + 3y - 5 = 0.
It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.
Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.
Offline
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
Hi;
The solution #6152 is correct. Very well done, bobbym!
#6153. Find the value of k for which the following system of equations has no solution:
2x - ky + 3 = 0,
3x + 2y - 1 = 0.
It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.
Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.
Offline
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
Hi;
The solution #6153 is correct. Neat work, bobbym!
#6154. Solve:
It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.
Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.
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Only a friend tells you your face is dirty.
Offline
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
Hi;
The solution #6154 (two values) is correct. Marvelous, math9maniac and bobbym!
#6155. Solve: 25x(x + 1) = -4.
It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.
Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.
Offline
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
Hi;
The solution #6155 (two values) is correct. Neat work, bobbym!
#6156. Solve:
It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.
Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.
Offline
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
Hi;
The two solutions in #6156 is correct. Excellent, bobbym!
#6157. Solve:
It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.
Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.
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Last edited by math9maniac (2017-04-05 03:10:48)
Only a friend tells you your face is dirty.
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