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2006 AMC 10B Problem 12

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2006 AMC 10B Problem 12AMC 10 Step by Step
Name:                             Date: September 13, 2026
Coordinate Geometry · difficulty 2 of 5 · about 2 min · position P11-15

The lines x=14y+ax=\frac{1}{4}y+a and y=14x+by=\frac{1}{4}x+b intersect at the point (1,2)(1,2) . What is a+ba+b ?

  1. A)

    00

  2. B)

    34\frac{3}{4}

  3. C)

    11

  4. D)

    22

  5. E)

    94\frac{9}{4}

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