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Question

Find the values of the x+y and x−y from the examples given below without solving for x and y

4x+3y=24;3x+4y=25

A
7 , 1
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B
1 , 7
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C
1 , 7
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D
7 , 1
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Solution

The correct option is D 7 , 1
The given equations are

4x+3y=24 ...(i)
3x+4y=25 ...(ii)

On adding (i) and (ii), we get
7x+7y=49x+y=7
On subtracting (ii) from (i), we get

xy=1

x+y=7 and xy=1

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