Question

For the graph shown, select the statement that best represents the given system of equations.


3y – x = 12
x – 3y = 6

Answer 1

A.

coincident








B.
consistent and independent







C.

inconsistent








D.
not enough information

Answer 2

@DSS UR HERE!!! :D

Answer 3

Hey

Answer 4

There is no solution to the system of equations as the lines are parallel. I'm not familiar with the vocabulary you have to choose from.

Answer 5

not enough information?

Answer 6

On the other hand, if there are NO points that work in both, then we
say that the equations are INCONSISTENT. NO numbers that work in one
are consistent with the other.
When a system is "dependent," it means that ALL points that work in
one of them ALSO work in the other one. Graphically, this means that
one line is lying entirely on top of the other one, so that if you
graphed both, you would really see only one line on the graph, since
they are imposed on top of each other. One of them totally DEPENDS
on the other one.

When a system is "independent," it means that they are not lying on
top of each other. There is EXACTLY ONE solution, and it is the point
of intersection of the two lines. It's as if that one point is
"independent" of the others.

To sum up, a dependent system has INFINITELY MANY solutions.
An independent system has EXACTLY ONE solution.

From this information I would say inconsistent.

Answer 7

Does that help?

Answer 8

yes thx :D I have 3 more questions :D

Answer 9

k

Answer 10

For the graph shown, select the statement that best represents the given system of equations.


3y – x = 2
9y – 3x = 6

Answer 11

These are different equations for the same exact line...they share every point in common.
They are consistent.

Answer 12

and consistent and independed?

Answer 13

No..independent only has one solution. this one has many...it would be dependent.

Answer 14

A.

not enough information








B.

coincident








C.

consistent and independent








D.

inconsistent

Answer 15

I'd say it's just consistent.

Answer 16

it doesn't have that as a choice @DSS

Answer 17

Points that work in each equation...consistent.
When a system is "dependent," it means that ALL points that work in
one of them ALSO work in the other one. Graphically, this means that
one line is lying entirely on top of the other one, so that if you
graphed both, you would really see only one line on the graph, since
they are imposed on top of each other. One of them totally DEPENDS
on the other one.
By the definitions given this is what I say. consistent & dependent

Answer 18

Could it be not enough information because the appropriate choice isn't available?

Answer 19

I think so

Answer 20

http://static.k12.com/calms_media/media/316000_316500/316445/1/89e2b2e9ad0ee99398475d406ccbe77f8af95472/MS_ALG_S1_08_01_quiz_Q4_question.gif

Answer 21

For the graph shown, select the statement that best represents the given system of equations

Answer 22

2y – 3x = 9
4y + 3x = 12









A.
inconsistent







B.
consistent and independent







C.
coincident







D.
not enough information


@DSS

Answer 23

There is exactly one point that both equations share, (-2/3,7/2). I'd say consistent & independent.

Answer 24

thx :D, last one

Answer 25

http://static.k12.com/calms_media/media/316000_316500/316446/1/6c39013977eb073ac1b2157c51bbb5cdaf55cfb8/MS_ALG_S1_08_01_quiz_Q5_question.gif

Answer 26

What is the best approximation of the solution to the equations that these two lines represent?









A.

(0, 1)








B.

(1, 1)








C.

(1.5, 1)








D.

(1, 1.5)

Answer 27

The two lines given...do you know how to determine the slope & y-intercept of each?

Answer 28

yes

Answer 29

Give me the equations for both lines.

Answer 30

c

Answer 31

I think it's (1,1.5) find the x value first at 1, up 1.5

Answer 32

ohhhh now I get it, thx :D