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Question

Which of following is a solution of the equation, 2x+3y=11?


A

x=1, y=3

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B

x=0, y=5

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C

x=2, y=5

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D

x=9, y=1

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Solution

The correct option is A

x=1, y=3


Substituting each set of the values for x and y in the equation 2x+3y=11, we have

(i) x=1, y=3LHS=(2×1)+(3×3)=11=RHS (ii) x=0, y=5LHS=(2×0)+(3×5)=15RHS (iii) x=2, y=5LHS=(2×2)+(3×5)=19RHS (iv) x=9, y=1LHS=(2×9)+(3×1)=21RHS

x=1, y=3 is solution to the given equation.


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