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    Question

    The values of x and y satisfying the equations 2x + 3y

    = 77 and 3x + 2y = 73 are respectively
    A 12 and 18 Correct Answer Incorrect Answer
    B 11 and 19 Correct Answer Incorrect Answer
    C 13 and 17 Correct Answer Incorrect Answer
    D More than one of the above Correct Answer Incorrect Answer
    E None of the above Correct Answer Incorrect Answer

    Solution

    ATQ, Given Equations: 2x+3y=77 3x+2y=73 Multiply to Align Coefficients Multiply the first equation by 3 and the second by 2: 6x+9y=231 6x+4y=146 Subtract the Equations (6x+9y)−(6x+4y)=231−146 5y=85  y=17 Substitute y =17 in 2x+3y =77 2x+3(17) =77 2x+51=77 2x=26 x =13

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