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Answers
Qᴜᴇsᴛɪᴏɴ:-
Write 4 solutions for the following [Give values of x less than 6]
- 3x + 4y = 12
- 5x - 2y = 0
- 2x + 5y = 8
- 4x - y = 11
- 3x + 2y - 3 = 0
Aɴsᴡᴇʀ:-
Ans. 1
3x + 4y = 12
★x = 1
3x + 4y = 12
↦(3 * 1) + 4y = 12
↦3 + 4y = 12
↦4y = 8
↦y = 2
1st pair of solutions: x = 1, y = 2
★x = 0
3x + 4y = 12
↦3 * 0 + 4y = 12
↦4y = 12
↦y = 3
2nd pair of solutions: x = 0, y = 3
★x = -4
3x + 4y = 12
↦3*-4 + 4y = 12
↦-12+ 4y = 12
↦4y = 24
↦y = 6
3rd pair of solutions: x = -4 , y = 6
★x = 4
3x + 4y = 12
↦12 + 4y = 12
↦4y = 12
↦y = 0
3rd pair of solutions: x = 4, y = 0
Ans. 2
5x - 2y = 0
★x = 8
↦5x - 2y = 0
↦-2y = -40
↦y = 20
1st pair of solutions: x = 8, y = 20
★x = 2
↦5x - 2y = 0
↦-2y = -10
↦y = 5
2nd pair of solutions: x = 2, y = 5
★x = 6
↦5x - 2y = 0
↦-2y = - 30
↦y = 15
3rd pair of solutions: x = 6, y = 15
★x = 4
↦5x - 2y = 0
↦-2y = -20
↦y = 10
4th pair of solutions: x = 4, y = 10
Ans. 3
2x + 5y = 8
★x = -11
↦2x + 5y = 8
↦5y = 30
↦y = 6
x = -11, y = 6
★x = -6
↦2x + 5y = 8
↦5y = 20
↦y = 4
x = -6, y = 4
★x = 9
↦2x + 5y = 8
↦5y = 10
↦y = 2
x = 9, y = 2
★x = 4
↦2x + 5y = 8
↦5y = 0
↦y = 0
x = 4, y = 0
Ans. 4
4x - y = 11
★x = 1
↦4x - y = 11
↦y = -7
x = 1, y = -7
★x = 2
↦4x - y = 11
↦y = -3
x = 2, y = -3
★x = 3
↦4x - y = 11
↦y = 1
x = 3, y = 1
★x = 4
↦4x - y = 11
↦y = 5
x = 4, y = 5
Ans. 5
3x + 2y - 3 = 0
★x = 1
↦3x + 2y - 3 = 0
↦2y = 0
↦y = 0
x = 1, y = 0
★x = 9
↦3x + 2y - 3 = 0
↦2y = -24
↦y = -12
x = 9, y = -12
★x = 3
↦3x + 2y - 3 = 0
↦2y = -6
↦y = -3
x = 3, y = -3
★x = 4
↦3x + 2y - 3 = 0
↦2y = -8
↦y = -4
x = 4, y = -4