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anonymous

  • one year ago

Solve 2(x + 1) = 2x + 2.

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  1. anonymous
    • one year ago
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    is the answer no solution? options: all real numbers no solution 0 1

  2. Alex_Mattucci
    • one year ago
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    |dw:1442448355986:dw|

  3. Alex_Mattucci
    • one year ago
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    since after you distribute the 2 on the left side, both side are the same so it is all real numbers or infinitely many solutions

  4. ksaimouli
    • one year ago
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    \[2x+2=2x+2\]

  5. ksaimouli
    • one year ago
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    all values of x are solutions here.

  6. Alex_Mattucci
    • one year ago
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    Hope this helped!

  7. anonymous
    • one year ago
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    but when you subtract the two together, are they not equal to eachother I got 2x=2x at the end

  8. Alex_Mattucci
    • one year ago
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    yes, 2x=2x is a true statement. they are equal

  9. anonymous
    • one year ago
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    so i would not be no solution because they cancel out?

  10. Alex_Mattucci
    • one year ago
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    exactly, if you subtract 2x from each side it would be 0=0 which both sides are equal. if for instance x=5 than when you substitute in 5 for x, it comes out to 10 on each side. therefore both sides are equal to eachother.

  11. Alex_Mattucci
    • one year ago
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    and if you divided each side by 2 which is what you would/should do than it would be x=x where x could equal any number!

  12. anonymous
    • one year ago
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    yea thats what i did so it would be no solution

  13. Alex_Mattucci
    • one year ago
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    no, if x=x than x could be any number so it is all real numbers/infinitely many solutions!

  14. anonymous
    • one year ago
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    all real numbers then

  15. Alex_Mattucci
    • one year ago
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    yes

  16. Alex_Mattucci
    • one year ago
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    sorry if my examples of 0=0 or 10=10 mixed you up. i was just showing that both sides were equal so there had to be a solution

  17. anonymous
    • one year ago
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    alright thanks that helped

  18. Alex_Mattucci
    • one year ago
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    no problem!

  19. Alex_Mattucci
    • one year ago
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    just know in the future, when you get a question like this where both side are the some it is all real numbers or infinitely many solutions. don't question it!

  20. anonymous
    • one year ago
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    ok thanks

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