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.)

Answer 1

hi can you help me?

Answer 2

would i have to do elimination first?

Answer 3

x+y+z=53
3x-2y+2z=69
-x+2y-7z=-59

This right?

Answer 4

idk im lost

Answer 5

yea

Answer 6

last one is a z not 7z

Answer 7

last one is a z not 7z

Answer 8

would it be i solver for x first?

Answer 9

x+y+z=53
3x-2y+2z=69
-x+2y+z=-59

z=-x-y+53

Answer 10

3x-2y+2(-x-y+53)=69
-x+2y-x-y+53=-59

Answer 11

last one is a z not 7z

Answer 12

what would i need to do solve for a variable first?

Answer 13

x= 475/7?

Answer 14

I got x=485/7

Answer 15

i got x= 475/7 and y= 166/7

Answer 16

Hold on, let me work it out

Answer 17

i could of got it wrong

Answer 18

then got z=-8.86

Answer 19

\[\array{x + y + z == 53 \\
3 x - 2 y + 2 z = 69 \\
-x + 2 y + z == -59}\]
z = -x - y + 53

3 x - 2 y + 2 (-x - y + 53) = 69
-x + 2 y + (-x - y + 53) =-59

\[\array{x-4y\text{==}-37 \\-2x+y\text{==}-112}\]

\[\array{2x - 8 y = -74\\
-2 x + y = -112}\]

-7y=-186
y=186/7

Answer 20

oh i messed up then

Answer 21

whats the awnser for x and z?

Answer 22

question from 8 months ago?

Answer 23

yeah

Answer 24

what's the answer to part 2 of this problem???? please im struggling so bad on this

Answer 25

Im on the same one.. I got the first part but like you guys the second part makes no sense. Ugh :/