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Question

Solution for the following pairs of equations is.
1x+3y=1
6x12y=2
(Where x0,y0)

A
x =35,y =73
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B
x =53,y =72
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C
x =53,y =152
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D
x =53,y =122
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Solution

The correct option is C x =53,y =152
Let 1x=a and 1y=b (As x0,y0)
Then, the given equations become
a+3b=1 …(1)
6a12b=2 …(2)

Multiplying equation (1) by 4, we get 4a+12b=4 …(3)
Adding equation (2) and equation (3), we get 10a=6
a=35

Putting a=35 in the equation (1), we get
35+3b=1
b=1(35)3

b=215

Hence,
x=53,y=152

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