If x, y are real numbers such that ordered pairs (x + y, x -y) and (2x + 3y, 3x - 2y) are equal, then (x, y) is equal to
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Given, the ordered pairs and are equal. Since, two ordered pairs are equal if and only if corresponding coordinates are equal, we get and . That is and . Solving the two equations, we get and . Hence the ordered pair .