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    Question

    Solve the system: 3x + 2y = 16 4x βˆ’ y

    = 9
    A x = 34/11, y = 37/11 Correct Answer Incorrect Answer
    B x = 34/11, y = 17/11 Correct Answer Incorrect Answer
    C x = 74/21, y = 17/11 Correct Answer Incorrect Answer
    D x = 31/11, y = 30/11 Correct Answer Incorrect Answer

    Solution

    From second equation: 4x βˆ’ y = 9 β†’ y = 4x βˆ’ 9 Substitute into first: 3x + 2(4x βˆ’ 9) = 16 3x + 8x βˆ’ 18 = 16 11x βˆ’ 18 = 16 11x = 34 x = 34/11 Then y = 4x βˆ’ 9 = 4(34/11) βˆ’ 9 = 136/11 βˆ’ 99/11 = 37/11 Answer: x = 34/11, y = 37/11.

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