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Question

Solve for x and y.

5x+6y=7x+3y=3(x+6y6)

A
x=1,y=3
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B
x=2,y=6
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C
x=3,y=2
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D
None of these
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Solution

The correct option is D x=3,y=2
Given, 5x+6y=7x+3y=3(x+6y6)
By taking first and third we get,
5x+6y=3(x+6y6)
5x+6y=3x+18y18
2x12y=18 ....(i)
By taking last two we get,
7x+3y=3(x+6y6)
7x+3y=3x+18y18
4x15y=18 .....(ii)
On multiplying equation (i) by 2. we get,
4x24y=36 ....(iii)
Subtracting (ii) from (iii). we get,
4x24y(4x15y)=36(18)
9y=18y=2
On substituting y=2 in (i). we get,
2x12(2)=18
2x=6
x=3
x=3,y=2



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