Question

an air traffic controller is plotting the course of 2 jets scheduled to plan in 30 minutes. one aircraft is following a path defined by the equation 2x-y=9. the other by the equation 4x=-3y+13. Should the controller alter the paths of either aircraft?

Answer 1

not sure what "scheduled to plan" means :/

Answer 2

pellet sorry scheduled to land****

Answer 3

shoot sorry***

Answer 4

pellet?
also, are x and y both land coordinates? or does x represent time and y distance?

Answer 5

i said a swear word and it substituted that in for me :p and i have no clue the wording for these questions makes no sense

Answer 6

oh awesome
ok well if x and y are both land coordinates then we're both fudged. because i'm fairly sure there's nothing to hint at parametric equations and that would be the only way to solve it,
if x is time and y is distance, then you want to solve the system of equations

Answer 7

say x is time in hours, btw
can you solve the system by yourself?

Answer 8

i could 2 months ago :p

Answer 9

effffff fudge this question

Answer 10

haha ok :) well start by writing then in Ax + By = C form
don't fudge it just yet, ti's easy!

Answer 11

2x-y=9
4x+3y=13

Answer 12

you could do elimination

Answer 13

that's right, and that's usually the easiest method so go ahead and do that

Answer 14

so 4x-2y=18
-4x+3y=13
_____________
-5y=5

Answer 15

y=-1

Answer 16

perfect, now findx cause that's what we're interested in

Answer 17

4x=-3(-1)+13
4x=16
x=4

Answer 18

(4,-1) is the solution

Answer 19

ok so that's in hours.
the planes land in .5 hours, right? so will they crash?

Answer 20

i dont know where to go after finding that

Answer 21

thats all i get out of finding the solution

Answer 22

if they follow their paths as planned, then they meet (read: crash) in four hours.
but, they both land in half an hour.
so they don't crash, and nobody needs to change plans
does that make sense?

Answer 23

ohhh yesss

Answer 24

makes perfect sense :)

Answer 25

thank you soooo muchhhh :))))))))

Answer 26

of course!

Answer 27

happy to help

Answer 28

i understand the rest of my questions somewhat