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Question

Solve the following pair of equations:
2x+y=7
3x+2y=12
Choose the correct answer from the given options.


A

(2,3)

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B

(3,2)

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C

(1,0)

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D

(-3,2)

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Solution

The correct option is A

(2,3)


We have,

2x+y=7 ...(1)
3x+2y=12...(2)

Multiply equation (1) by 2, we get:

2(2x+y)=2(7)
4x+2y=14...(3)

Subtracting (2) from (3) we get ,

x=2
Substituting the value of x in (1) we get,
2(2)+y=7y=3

Thus, the solution for the given pair of linear equations is (2,3).


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