Question

Without graphing, is the system independent, dependent, or inconsistent?

A. Independent
B. Depended
C. Inconsistent

Answer 1

Please Help! An explanation too

Answer 2

from equation 1st put value of y in 2nd
to get equation in x

Answer 3

What is the value of y?

Answer 4

Are you telling me to combine both equations?

Answer 5

both the equation are same

Answer 6

So then what do I do?

Answer 7

A consistent independent system always has a single solution.

Answer 8

since both eqution are same so they overllap and infinite many solution .

Answer 9

This explains whether dependent, independent or inconsistent
http://www.algebra.com/algebra/homework/coordinate/Types-of-systems-inconsistent-dependent-independent.lesson

Answer 10

Does this mean they are inconsistent ?

Answer 11

not if there is no solution then incosistent .

Answer 12

there are infinitely many solutions and the system is called dependent.

Answer 13

Ok, thanks for the help! But now how would I know if something is independent?

Answer 14

mark out that
one solution = independent or consistent
no solution = in cosistent
infinitaly many solution = dependent

Answer 15

Really helpful! Thanks

Can I post another?

Answer 16

yup

Answer 17

What would be the equivalent system to help me solve it?

Answer 18

i dont get but solve them
using value of y from first equation
put in 2nd one .

Answer 19

So basically, 3x - y + -2x?

Answer 20

I combined both equations but I don't think it's right though
Can you explain?

Answer 21

not from 1st
y=-2x
now put in 2nd
3x-(-2x)=10

Answer 22

Now when you say 'solve', I need to subtract something from both sides?

Answer 23

not 3x+2x=10
5x=10
x=2

Answer 24

Oh so we combined 'like terms' then

Answer 25

If x=2, then the answer must be C. (2, -4) since that is the only option with a positive two in the x side, right?

Answer 26

to solve mean from one equation put value of either of y or x in term of otherone
now other equation has only x now solve for x and get answer..

Answer 27

So C isn't the answer?

Answer 28

no c is ans

Answer 29

since on solving them we get x=2 and y=-4

Answer 30

Thank You!

Answer 31

from 1st y=-2x-1
put in second equation

Answer 32

y = 2x - 1- 4x ? or y = 2x-1+4x ?

Answer 33

-4x-2(-2x-1)=-1

Answer 34

Oh, sorry, I completely forgot about the parenthesis

Answer 35

-6x -3 = 1?

Answer 36

I got that answer by combining 'like terms'

Answer 37

not here -4x+4x+2=1
2=1

Answer 38

now u think what is this
this the case where there is no solution since
line are parallal