The roof lines of a building can be described by the system of equations below, where the floor is represented by the x-axis and the y-axis and the height of the building is along the z-axis. measurements are in feet. find the point of intersection of the roof lines, using an ordered triple in the form (x, y, z).

{ x+y+z=52,
3x-2y+z=69,
-x+2y-z=-59}

also part 2:
a support column will be placed under the intersection point. the column must be feet to reach from the floor to the intersection point.
someone me ?