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is this equation:
A.
identity
B.
contradiction
C.
neither

- anonymous

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- anonymous

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

- anonymous

@jim_thompson5910

- jim_thompson5910

what do you get when you distribute

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## More answers

- anonymous

u get a? i dunno i am confused on this

- jim_thompson5910

forget about the options right now

- anonymous

ok

- jim_thompson5910

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

- anonymous

12x-18

- jim_thompson5910

ok do the same for the right side

- anonymous

oh u get 9x-15 correct?

- jim_thompson5910

yep

- jim_thompson5910

we now have
12x - 18 = 9x - 15

- anonymous

now what?

- jim_thompson5910

are you able to isolate x?

- anonymous

yes

- jim_thompson5910

tell me what you get

- anonymous

ok

- anonymous

well x=1

- anonymous

oh oh oh so the answer is a

- jim_thompson5910

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

- jim_thompson5910

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

- anonymous

oh ok my bad

- anonymous

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

- jim_thompson5910

why isn't C correct?

- anonymous

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

- anonymous

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

- jim_thompson5910

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

- anonymous

what?!

- jim_thompson5910

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

- anonymous

i though contradiction means it has one solution

- jim_thompson5910

no

- anonymous

aw shucks

- jim_thompson5910

contradiction is something that has no solutions

- anonymous

oops my bad

- anonymous

i guess the answer is c then...

- jim_thompson5910

` 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

- anonymous

OH I GET It!!!

- phi

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)

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