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Question

Solve the following pair of equations and choose the correct answer.
2x + y = 7
3x + 2y = 12


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)


Given:

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

Multiply equation (1) by 2, we get:

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

Subtract (2) from (3) we get

x = 2
y = 3

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


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