Question

on behalf of @jrzyby1

solve the system
x+4y-z=3 (1)
x+5y-2z=5 (2)
3x+12y-3z=9 (3)

Answer 1

x + 4y - z = 3
x + 5y - 2z = 5

subtract the equations

9y + z = -2 <-- (4)

Answer 2

times the first equation by three,
then find the difference with the third equation

Answer 3

(1),(3) are the same

Answer 4

infinite solutions

Answer 5

Since 1 and 3 are the same, aren't there an infinite number of solutions?

Answer 6

hmm yep equation 1 and 3 wont intersect

Answer 7

gotcha.

Answer 8

there is an infinite line of solutions

Answer 9

I wass't sure and I tried to put the second equation into the first to see if it could be worked, hence the origin of all this. lol

Answer 10

cool. thank you much

Answer 11

@jrzyby1 fyi to ask a new question you will have to close your old post (which I think you left open)