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Question

Solve for x and y using cross multiplication method :

5(x+y)2(xy)+1=015(x+y)+7(xy)10=0(xy, xy)

A

3 and 2
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B

4 and 1
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C

5 and 0
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D

2 and 3
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Solution

The correct option is A
3 and 2
5(x+y)2(xy)+1=0...(1)15(x+y)+7(xy)10=0...(2)Let 1x+y=a,1xy=b5a2b+1=0...(3)15a+7b10=0....(4)

By Cross-multiplication mehod

a207=b15(50)=135(30)a13=b65=165a13=165a=1365a=15665=165b=6565b=1a=15 , b=11x+y=15 1xy=1x+y=5 xy=1

By cross- multiplication method :

x1(5)=y51=111x6=y4=12x6=12x=3y4=12y=2


Hence, option a is correct.

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