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    Question

    For what value of m will the system of equations

    18x-72y+13=0 and 7x-my-17=0 have no solution?
    A 63 Correct Answer Incorrect Answer
    B 54 Correct Answer Incorrect Answer
    C 90 Correct Answer Incorrect Answer
    D 29 Correct Answer Incorrect Answer

    Solution

    ATQ, To have no solution, the two equations should represent parallel lines. We can rewrite the equations in slope-intercept form: 8x - 72y = 13 --> y = (8/72)x - 13/72 --> y = (1/9)x - 13/72 7x - my = 17 --> y = (7/m)x - 17/m For the lines to be parallel, their slopes must be equal. So we set (1/9) = 7/m and solve for m: 1/9 = 7/m m = 63 Therefore, the value of m for which the system of equations has no solution is m = 63.

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