1)
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=53
3x-2y+2=69
-x+2y-7=-59

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. (Enter only the number.)

Question

1)
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=53
3x-2y+2=69
-x+2y-7=-59

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. (Enter only the number.)