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A is the midpoint of BC. BA=2x+5 and BC=5x-3. solve for x and find the length of BC

  • MATH -

    Find AC? I assume you have a typo above?

    BC = BA + AC
    5x - 3 = 2x + 5 + AC
    3x - 8 = AC

    since A is the MP of BC and BA = 2x + 5
    BC = 2(BA)
    BC = 2(2x + 5)
    BC = 4x + 10

    BC = BC
    5x - 3 = 4x + 10
    x = 13

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