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Verified Answer :

  1. x - 3 = 8x + 4
          -3 - 4 = 8x - x
          -7 = 7x
          -7/7 = x
          -1 = x

    y = x - 3
    y = -1 - 3
    y = -4

    solution is (-1,-4)
    ===================
    35. -6 = -x - 2y
          x = -2y + 6

    2 + 5x = -2y
    2 + 5(-2y + 6) = -2y
    2 - 10y + 30 = -2y
    32 = -2y + 10y
    32 = 8y
    32/8 = y
    4 = y

    2 + 5x = -2y
    2 + 5x = -2(4)
    2 + 5x = -8
    5x = -8 - 2
    5x = -10
    x = -10/5
    x = -2

    solution is (-2,4)
    ==================
    36. 4x + 6y = 2000
           x + y = 410
    ==================
    37. 4x + 6y = 2000
           x + y = 410......multiply by -6
    ----------------------
    4x + 6y = 2000
    -6x - 6y = - 2460 (result of multiplying by -6)
    --------------------add
    -2x = - 460
    x = -460/-2
    x = 230 <=== tickets in advance