Question

Which of the following ordered pairs is a solution of the equation x – 2y – 6?Please answer with explaination?​

Answer 1

Answer:

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Answer 2

SOLUTION

TO CHOOSE THE CORRECT OPTION

Which of the following ordered pairs is the solution of the equation x - 2y - 6 = 0

a. (2,4)

b. (0,3)

c. (-4,1)

d. (4,-1)

EVALUATION

Here the given equation is

x - 2y - 6 = 0 - - - - - (1)

CHECKING FOR OPTION : a

Putting x = 2 & y = 4 in Equation 1 we get

2 - ( 2 × 4 ) - 6

= 2 - 8 - 6

= - 12 ≠ 0

So (2,4) is not a solution of Equation 1

CHECKING FOR OPTION : b

Putting x = 0 & y = 3 in Equation 1 we get

0 - ( 3 × 4 ) - 6

= 0 - 12 - 6

= - 18 ≠ 0

So (0,3) is not a solution of Equation 1

CHECKING FOR OPTION : c

Putting x = - 4 & y = 1 in Equation 1 we get

- 4 - ( 2 × 1 ) - 6

= - 4 - 2 - 6

= - 12 ≠ 0

So ( - 4 , 1) is not a solution of Equation 1

CHECKING FOR OPTION : d

Putting x = 4 & y = - 1 in Equation 1 we get

4 - ( 2 × - 1 ) - 6

= 4 + 2 - 6

= 0

So (4, - 1) is a solution of Equation 1

FINAL ANSWER

Hence the correct option is d. (4,-1)

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