Question

Please help.Without graphing, classify the following system as independent, dependent, or inconsistent.

-x-2y=-7

5x-y=2

a.independent
b.dependent
c.inconsistent

Answer 1

do u know matrices?

Answer 2

@chris00 no who is ?

Answer 3

ok, nevermind that.

i'll give u a head start.

if the system has solutions then it is independent.
if the system has infinite solutions, then it is dependent
if the system has no solutions it is inconsistent

Answer 4

It would be dependent, right? thats what I just got

Answer 5

how did you get that?

Answer 6

when I solved it , it had infinite solutions. I know its not inconsistent

Answer 7

tell me how you solved this

Answer 8

I subtracted two from each side,

Answer 9

lol wat? we are trying to find solutions for x and y that satisfy both equations

Answer 10

O ok well I'm not sure how to solve this then

Answer 11

if we isolate x on one side we get

x=7-2y

substituting this into the second equation,

5(7-2y)-y=2
35-10y-y=2
-11y+35=2
11y=33
y=3

so using y=3 sub this into x=7-2y
x=7-2(3)
=7-6=1

(1,3) is a solution for this system, so what does it tell us about the nature of the system?

Answer 12

its independent because it has solution

Answer 13

correct

Answer 14

thank you