Question

find the point of intersection:

x = 17+7t
y = 10+5t
z = 13+3t

x = -20+8s
y = -19+7s
z = -8+6s

Answer 1

i solved the first equation for s...solved the 2nd equation for t...then sub'd both into the 3rd equation

Answer 2

and now i'm stuck

Answer 3

i got t = 3 and s = 5

Answer 4

if t = 3, then x = 17+7t = 17+7(3) = 17+21 = 38


but if s = 5, then x = -20+8s = -20+8(5) = -20+40 = 20


So the two x values aren't equal, which means that the solution for (s,t) isn't (5,3)

Answer 5

yea...i've gathered

Answer 6

the system

x = 17+7t
y = 10+5t
z = 13+3t

x = -20+8s
y = -19+7s
z = -8+6s


can be stated as


-20+8s = 17+7t
-19+7s = 10+5t
-8+6s= 13+3t


which can then be rewritten as


8s-7t = 37
7s-5t = 29
6s-3t = 21


Did you get this for your work?

Answer 7

no..where did u get the 37,29 and 21?

Answer 8

oh okay i see

Answer 9

I moved all the constant terms to the right side

Answer 10

solve that system to find your solution (s,t)