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anonymous

  • one year ago

https://static.k12.com/bank_packages/files/media/mathml_59e732620eccd4d781c66434c69af2cebda3780a_1.gif is this equation: A. identity B. contradiction C. neither

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  1. anonymous
    • one year ago
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    i think maybe it is either a or b, not c for sure

  2. anonymous
    • one year ago
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    @jim_thompson5910

  3. jim_thompson5910
    • one year ago
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    what do you get when you distribute

  4. anonymous
    • one year ago
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    u get a? i dunno i am confused on this

  5. jim_thompson5910
    • one year ago
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    forget about the options right now

  6. anonymous
    • one year ago
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    ok

  7. jim_thompson5910
    • one year ago
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    6(2x-3) is equivalent to what?

  8. anonymous
    • one year ago
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    12x-18

  9. jim_thompson5910
    • one year ago
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    ok do the same for the right side

  10. anonymous
    • one year ago
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    oh u get 9x-15 correct?

  11. jim_thompson5910
    • one year ago
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    yep

  12. jim_thompson5910
    • one year ago
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    we now have 12x - 18 = 9x - 15

  13. anonymous
    • one year ago
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    now what?

  14. jim_thompson5910
    • one year ago
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    are you able to isolate x?

  15. anonymous
    • one year ago
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    yes

  16. jim_thompson5910
    • one year ago
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    tell me what you get

  17. anonymous
    • one year ago
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    ok

  18. anonymous
    • one year ago
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    well x=1

  19. anonymous
    • one year ago
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    oh oh oh so the answer is a

  20. jim_thompson5910
    • one year ago
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    yes so there is exactly one solution (which is x = 1)

  21. jim_thompson5910
    • one year ago
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    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

  22. anonymous
    • one year ago
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    oh ok my bad

  23. anonymous
    • one year ago
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    i know for a fact c is not correct so the real answer must be b

  24. jim_thompson5910
    • one year ago
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    why isn't C correct?

  25. anonymous
    • one year ago
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    because it is neither contradiction or identity and we both know that a is not correct

  26. anonymous
    • one year ago
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    and i know that a or b must be it, but offcourse, a is wrong so the answer is b

  27. jim_thompson5910
    • one year ago
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    why is it a contradiction? a contradiction is something that has no solutions at all

  28. anonymous
    • one year ago
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    what?!

  29. jim_thompson5910
    • one year ago
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    example of a contradiction `2x + 3 = 2x + 5`

  30. anonymous
    • one year ago
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    i though contradiction means it has one solution

  31. jim_thompson5910
    • one year ago
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    no

  32. anonymous
    • one year ago
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    aw shucks

  33. jim_thompson5910
    • one year ago
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    contradiction is something that has no solutions

  34. anonymous
    • one year ago
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    oops my bad

  35. anonymous
    • one year ago
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    i guess the answer is c then...

  36. jim_thompson5910
    • one year ago
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    ` 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

  37. anonymous
    • one year ago
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    OH I GET It!!!

  38. phi
    • one year ago
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    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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