Question

4. Check which of the following are solutions of the equation 4x -6 y = 12.
(i) (3, 0)
(ii) (2,6)
(iii) (6, 2) (iv) (0, 2)​

Answer 1

Answer:

(i) ( 3 , 0 ) is the correct answer

Step-by-step explanation:

GIVEN

4x-6y=12

4×3-6×0=12

12-0=12

12=12

Thus, (3,0) is the solution of 4x-6y=12

Answer 2

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Equation is 4x - 6y = 12

(i) (3,0)

Here ,

• x = 3

• y = 0

Putting values , we get

4(3) - 6(0) = 12

12 - 0 = 12

12 = 12

Hence (3,0) is solution of the equation.

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(ii) (2,6)

Here ,

• x = 2

• y = 6

Putting values , we get

4(2) - 6(6) = 12

8 - 36 = 12

-28 ≠ 12

Hence (2,6) is not the solution of equation.

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(iii) (6,2)

Here ,

• x = 6

• y = 2

Putting values we get ,

4(6) - 6(2) = 12

24 - 12 = 12

12 = 12

Hence (6,2) is the solution of equation.

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(iv) (0,2)

Here ,

• x = 0

• y = 2

Putting values , we get

4(0) - 6(2) = 12

0 - 12 = 12

-12 ≠ 12

Hence (0,2) is not the solution of equation.