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Question

Find the solution for the pair of linear equations:
2x+4y=12
4x+2y=18


A

(1,4)

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B

(2,2)

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C

(4,1)

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D

(1,1)

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Solution

The correct option is C

(4,1)


Given that,
2x+4y=12
2x=124y
x=124y2
x=62y .................(i)

Now putting this value of x in the second equation,
4x+2y=18,
we get:

4(62y)+2y=18
248y+2y=18
6y=6

Thus, y=1

Now, putting this value of y in equation (i), we get,
x=62(1)
x=4


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