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anonymous

  • one year ago

solve bx-cx=7 for x

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  1. SolomonZelman
    • one year ago
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    Do you know anything like the folowing rule? \(\large\color{black}{ \displaystyle ab+zb=(a+z)b }\)

  2. SolomonZelman
    • one year ago
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    Don't be afraid to say no....

  3. anonymous
    • one year ago
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    I really dont know

  4. SolomonZelman
    • one year ago
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    it is fine.

  5. SolomonZelman
    • one year ago
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    Ok, would you agree with me if I said that: \(7x-4x=3x\) ?

  6. anonymous
    • one year ago
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    no hold on

  7. anonymous
    • one year ago
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    Here is the full question, with options

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  8. SolomonZelman
    • one year ago
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    I don't really need that to do it..... I am just trying to get you to understand how to work ouy the solution:) So, back to what I asked, if you will. In general: \(7x-4x=3x\) Do you agree with me or not?

  9. anonymous
    • one year ago
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    I do

  10. SolomonZelman
    • one year ago
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    Ok, and same way: \(10x-2x=8x\) \(9x-3x=6x\) and so forth.

  11. SolomonZelman
    • one year ago
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    Now, when you do \(bx-cx\) you are going to have a "b-c" number of x's. Right?

  12. anonymous
    • one year ago
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    Yes

  13. SolomonZelman
    • one year ago
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    So, you can re-write this: \(bx-cx=7\) as: \((b-c)\times x =7\)

  14. SolomonZelman
    • one year ago
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    good with the step that I did just now, or you have questions about it?

  15. anonymous
    • one year ago
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    Good with the steps

  16. SolomonZelman
    • one year ago
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    Ok, so we have so far: \((b-c)\times x=7\) ---------------------- If I had \(4x=8\), and I wanted to solve for x, THEN, I would divide both sides by 4. \(4x\div4=8\div 4{~~~~~}\Rightarrow{~~~~~} x=2\)

  17. SolomonZelman
    • one year ago
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    So, what whould I do when instead of 4 (as I showed in the example), I have a \("b-c"\) (as we have in our problem now).

  18. anonymous
    • one year ago
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    Alright I sorta got it

  19. SolomonZelman
    • one year ago
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    Ok, s when we have: \((b-c)\times x=7\) we are going to divide both sides by: \((b-c)\)

  20. SolomonZelman
    • one year ago
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    Can you preform this division for me please?

  21. SolomonZelman
    • one year ago
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    perform*

  22. anonymous
    • one year ago
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    x/(b-c) ?

  23. SolomonZelman
    • one year ago
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    x=7/(b-c)

  24. anonymous
    • one year ago
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    Thank You :)

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