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    Question

    What is the value of x (x and y are real numbers)?

    Statement I: 2x + 3y = 17 Statement II: 3x − y = 7
    A Statement I alone is sufficient, but Statement II alone is not sufficient. Correct Answer Incorrect Answer
    B Statement II alone is sufficient, but Statement I alone is not sufficient. Correct Answer Incorrect Answer
    C Both statements together are sufficient, but neither alone is sufficient. Correct Answer Incorrect Answer
    D Each statement alone is sufficient. Correct Answer Incorrect Answer

    Solution

    ATQ, Statement I alone: one linear equation in two variables ⇒ infinitely many (x,y). Not sufficient. Statement II alone: one linear equation in two variables ⇒ not sufficient. Using both statements together: system of two independent linear equations in two variables ⇒ unique solution for x and y. So together they are sufficient. Thus, both together are sufficient, neither alone is sufficient.

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