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Mello

  • 3 years ago

If (a/b)=(c/d), prove (a+b)/(a-b)=(c+d)/(c-d).

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  1. hartnn
    • 3 years ago
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    hint : 1.Add 1 on both sides---->(1) 2.subtract 1 from both sides ---->(2) 3. divide : (1)/(2)

  2. hartnn
    • 3 years ago
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    @Mello did u get it or should i show detailed steps??

  3. Mello
    • 3 years ago
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    Yes, please. My brain isn't getting it.

  4. Mello
    • 3 years ago
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    I got step 1...

  5. Mello
    • 3 years ago
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    Im a bit lost from there.

  6. hartnn
    • 3 years ago
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    so u must have got : \(\frac{a+b}{b}=\frac{c+d}{d}\)------->(1) right? Step 2: subtract 1 from both sides: \(\frac{a}{b}-1=\frac{c}{d}-1\) \(\frac{a-b}{b}=\frac{c-d}{d}\)------->(2) got step 2 ??

  7. Mello
    • 3 years ago
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    @hartnn Right. Oh subtract from the original. OK.

  8. hartnn
    • 3 years ago
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    sorry i didn't mention that, now divide: (1) / (2) did u see how u get your final result after dividing??

  9. Mello
    • 3 years ago
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    How would you divide an equation by an equation?

  10. hartnn
    • 3 years ago
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    ofcourse we can: if x=y and w=z after dividing we get (x/w)=(y/z) try dividing here. if u don't get, i'll show that step.

  11. Mello
    • 3 years ago
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    Oh, right. I remember learning something like that. I think I should be able to manage from here

  12. hartnn
    • 3 years ago
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    good,let me know if u still have doubts or could not get final answer.

  13. Mello
    • 3 years ago
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    Alrighty, Thank you so much for the help!

  14. hartnn
    • 3 years ago
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    welcome :)

  15. Mello
    • 3 years ago
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    Got it! Thanks again.

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