Question

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Answer 1

Qᴜᴇsᴛɪᴏɴ:-

Write 4 solutions for the following [Give values of x less than 6]

1. 3x + 4y = 12
2. 5x - 2y = 0
3. 2x + 5y = 8
4. 4x - y = 11
5. 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