The equations $x + y = 2$ , $2 x + 2 y = 3$ have.

A unique solution

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No solution

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Infinitely many solutions

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None of these

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Solution

The correct option is B No solution
Consider both equations

$x + y = 2$ .....(a)

and $2 x + 2 y = 3$ .....(b)

Multiply equation (a) with (b)

$2 x + 2 y = 4,$ but in equation given as $2 x + 2 y = 3$

$∴$ There are no ordered pairs $(x, y)$ that satisfy the condition .

$∴$ Both equations have no solution.

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x + y + z = 2

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