Question

https://static.k12.com/bank_packages/files/media/mathml_59e732620eccd4d781c66434c69af2cebda3780a_1.gif

is this equation:

A.
identity

B.
contradiction

C.
neither

Answer 1

i think maybe it is either a or b, not c for sure

Answer 2

@jim_thompson5910

Answer 3

what do you get when you distribute

Answer 4

u get a? i dunno i am confused on this

Answer 5

forget about the options right now

Answer 6

ok

Answer 7

6(2x-3) is equivalent to what?

Answer 8

12x-18

Answer 9

ok do the same for the right side

Answer 10

oh u get 9x-15 correct?

Answer 11

yep

Answer 12

we now have

12x - 18 = 9x - 15

Answer 13

now what?

Answer 14

are you able to isolate x?

Answer 15

yes

Answer 16

tell me what you get

Answer 17

ok

Answer 18

well x=1

Answer 19

oh oh oh so the answer is a

Answer 20

yes so there is exactly one solution (which is x = 1)

Answer 21

it's only an identity if both sides are the same

example `x = x` or `2x+3 = 2x+3`

identities are equations that have infinitely many solutions

Answer 22

oh ok my bad

Answer 23

i know for a fact c is not correct so the real answer must be b

Answer 24

why isn't C correct?

Answer 25

because it is neither contradiction or identity and we both know that a is not correct

Answer 26

and i know that a or b must be it, but offcourse, a is wrong so the answer is b

Answer 27

why is it a contradiction? a contradiction is something that has no solutions at all

Answer 28

what?!

Answer 29

example of a contradiction `2x + 3 = 2x + 5`

Answer 30

i though contradiction means it has one solution

Answer 31

no

Answer 32

aw shucks

Answer 33

contradiction is something that has no solutions

Answer 34

oops my bad

Answer 35

i guess the answer is c then...

Answer 36

` 2x + 3 = 2x + 5` simplifies to `3 = 5` which is always false

there are no x values that make the equation true. So there are no solutions

Answer 37

OH I GET It!!!

Answer 38

another way to think of it:
identity means left side = right side no matter what x is (it works for all x values)
contradiction means left side never equals right side (no x value works)