Question

help please! :c medal

Answer 1

Without graphing, classify each system of equations as independent, dependent, or inconsistent.

{ 6x – 2y = 2
2 + 6x = y

Answer 2

can you define those terms?

Answer 3

oops sorry
{ 6x-2y=2
2+6x=y

and what do you mean? sorry im horrible at algebra 2 /:

Answer 4

it's ok: do you know what independent ,dependent, and inconsistent mean?

Answer 5

here, I have to go hopefully @Here_to_Help15 can help you!

Answer 6

i am always being refered by you @redheadangel :P

Answer 7

hey dr

Answer 8

yes Inconsistent means the system cannot be solved there is no solution. Dependent means that at least one of the equations can be derived from the others in the system.
Independent means that none of the equations can be derived from the other equations.

Answer 9

okay c: thank you anyway!

Answer 10

hey :) @Here_to_Help15

Answer 11

hey :)

Answer 12

ok this is in a textbook correct?

Answer 13

do you mind helping me with a few problems? s:

Answer 14

ill see whats i can dos

Answer 15

okay thank you c:!

Answer 16

np and is it?

Answer 17

Without graphing, classify each system of equations as independent, dependent, or inconsistent.
{ 6x-2y=2
2+6x=y

Answer 18

sorry im leaving @myininaya please please help @DrPepperx3

Answer 19

@e.mccormick please help

Answer 20

Ok dr someone messenged me that they will help you in a bit

Answer 21

is that fine?

Answer 22

@iGreen

Answer 23

that's fine thank you

Answer 24

@KlOwNlOvE

Answer 25

Don't worry the help you need is here sorry btw :/

Answer 26

I hope so :c I suck at these problems.. and it's okay

Answer 27

also @studygeek15

Answer 28

Independent means the system has one solution
Inconsistent means there are no solutions
Dependent means there are infinite solutions

Answer 29

You are looking at:
6x-2y=2
2+6x=y

Answer 30

Try to find the solutions and tell me how many there are

Answer 31

The bottom one is already solved for y so I suggest subing it into the first equation

Answer 32

can you give me examples on how to solve equations like those? that's what I have a hard time with

Answer 33

step by step if you don't mind :c

Answer 34

Pretend we have the system x+2y=8
y=4x+1
The bottom equation is solved for y so I will go ahead and replace the y in the first equation with the 4x+1 .
x+2y=8
x+2(4x+1)=8 (now solve for x)
x+8x+2=8
9x+2=8
9x=6
x=6/9=2/3
and we can find y from the y=4x+1 equation
y=4(2/3)+1
y=8/3+1
y=8/3+3/3=11/3
so the solution of the system x+2y=8, y=4x+1 is (2/3,11/3)
So the system is independent since we have the one solution

Answer 35

Pretend we have the system x+y=5
2x+2y=5
We could do this problem by elimination instead of substitution (like we did the first one; though we could also do sub by solve for y or x in the first in pluggin it into the next)
so elimination ...
multiply the first equation by -2 we get the new first equation is -2x-2y=-10
but adding these equations together
-2x-2y=-10
2x+2y=5
------------
0x+0y=-5
0 + 0=-5
0=-5
Since 0 never equals -5 then there no solution to the system x+y=5, 2x+2y=5. Therefore the system is inconsistent.

Answer 36

Pretend we have the system x-y=6
2x-2y=12
If you notice without actually going through the process that these are actually the same equation and therefore have infinitely many solutions and therefore the system is dependent then you are done.
You could solve my elimination again (or sub). I prefer elimination.
Multiply first equation by -2 so we have
-2x+2y=-12
--
So adding the equations give us:
-2x+2y=-12
2x-2y=12
--------------
0 +0=0
0=0 is always true therefore infinitely many solutions therefore system is dependent

Answer 37

okay so tell me if im doing this right
6x-2y=2
2+6x=y
so 6x*6=36x
and since the first equation is subtract 2 and the second equation is+2 means it cancels that out? so its 36x+3=y?

Answer 38

Did you replace the first y with the 2nd y in terms of x?
Like the second y=2+6x
so we can replace the first y with 2+6x
so we have 6x-2(2+6x)=2
have you solve this equation for x?

Answer 39

oh no I didn't >_< .. so 6x-2(2+6x)=2 so x=-1?

Answer 40

right so we will have one solution
which means the system is independent
I don't the question asking to solve for the solution so I guess you don't have to find y

Answer 41

okay :) thank you! can you list the steps again up to where I found x? and do you mind helping me with a couple more?