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Question

The solution of the two simultaneous equations 2x+y=8 and 3y=4+4x is

A
x=4,y=1
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B
x=1,y=4
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C
x=2,y=4
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D
x=3,y=4
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Solution

The correct option is C x=2,y=4
The given equations are
2x+y=8
2x+y8=0.........(i) and
3y=4+4x4x3y+4=0..........(ii)
Applying cross multiplication method,
x1×(4)(8)(3)=y2×(4)(8)×4=12×(3)1×4x20=y40=110x=2,y=4.(x,y)=(2,4)
Hence, the answer is x=2,y=4.

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