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Question

Equations x+y=2, 2x+2y=3 will have


A

Only one solution

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B

Many finite solutions

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C

No solution

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D

None of these

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Solution

The correct option is C

No solution


x+y=2 ............. (i)

2x+2y=3 ......... (ii)

From (ii) equation, 2(x+y) = 3

2 × 2 = 3

4 = 3

Which is not feasible, so given equation has no solution.


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