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anonymous

  • one year ago

CHECK ATTACHMENT PLEASE

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  1. anonymous
    • one year ago
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  2. mathstudent55
    • one year ago
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    Let's write our 2 original equations. \(x + 3y = 5\) Eq. 1 \(7x - 8y = 6\) Eq. 2

  3. mathstudent55
    • one year ago
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    The problem is asking for a new system of equations which is obtained by keeping equation 2 unchanged, and equation 1 is replaced by the sum of equation 1 and a multiple of equation 2. The new system of equations will be: \(x + 3y = 5\) Eq. 1 kept unchanged \(\_\_\_\_\_\_\_\_\_\_\) A new equation replacing Eq. 2

  4. mathstudent55
    • one year ago
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    Now we need to read in the problem what the new equation that replaces equation 2 is. "If equation 2 is multiplied by 1, ..." We are told that equation 2 is multiplied by 1. We already were told that we needed to add a multiple of equation 2 to equation 1. Now we know that the multiple of equation 2 is obtained by multiplying equation 2 by 1. What is equation 2 (below) multiplied by 1 on both sides? \(7x - 8y = 6\) Eq. 2

  5. anonymous
    • one year ago
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    can you try it out? :) we can't do it for u

  6. mathstudent55
    • one year ago
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    @dom4958 Are you there?

  7. anonymous
    • one year ago
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    @mathstudent55 yes

  8. anonymous
    • one year ago
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    @dom4958 then try it out

  9. anonymous
    • one year ago
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    well if I'm multiplying equation 2 by 1 it would still be the same wouldn't it? or would the - sign change next to 8y?

  10. mathstudent55
    • one year ago
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    Ok. What is any number multiplied by 1? What is 2 * 1 = 3 * 1 = pi * 1 = What does multiplying by 1 do to a number?

  11. anonymous
    • one year ago
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    @mathstudent55 nothing. it stays the same

  12. mathstudent55
    • one year ago
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    Exactly. Multiplying by 1 does not change a number, so multiplying a whole equation by 1 does not change the equation.

  13. mathstudent55
    • one year ago
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    That means when we multiply the second equation by 1, we end up with the second equation, just as it was originally.

  14. mathstudent55
    • one year ago
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    \(7x - 8y = 6\) Eq. 2 multiplied by 1

  15. mathstudent55
    • one year ago
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    Now we add Eq. 1 to Eq. 2 multiplied by 1: \(~~~~~~~~x + 3y = 5\) Eq. 1 \(+~~~7x - 8y = 6\) Eq. 2 multiplied by 1 \(\_\_\_\_\_\_\_\_\_\_\_\_\_\_\)

  16. mathstudent55
    • one year ago
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    Do you know how to add the equations in the response above?

  17. mathstudent55
    • one year ago
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    Add like terms that are placed one above the other. What is x + 7x = ?

  18. anonymous
    • one year ago
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    i think he's afk just waiting for the answer

  19. anonymous
    • one year ago
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    sorry I'm back, give me a moment to read what you just said

  20. anonymous
    • one year ago
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    would this be correct or am i off track? x+3y=5 + 7x−8y=6 ______________ 8x - 5y =11???

  21. mathstudent55
    • one year ago
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    Correct.

  22. mathstudent55
    • one year ago
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    Now you replace equation 1 by this new equation, and equation 2 remains the same as it was. What is the new system of equations?

  23. anonymous
    • one year ago
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    8x - 5y =11 Eq.1 7x−8y=6 Eq.2

  24. mathstudent55
    • one year ago
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    Original system New system \(x+3y=5\) Eq. 1 ---replaced by---> \(8x - 5y = 11\) \(7x−8y=6\) Eq. 2 ---remains as----> \(7x - 8y = 6\)

  25. mathstudent55
    • one year ago
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    Exactly. Now read the choices and choose the correct one.

  26. anonymous
    • one year ago
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    B thank you so much. you made it really clear i appreciate it

  27. mathstudent55
    • one year ago
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    Great. You're welcome. Notice that you did all the work. I just guided you through it. When you have a problem like this one, break down the instructions into small steps and do one step at a time until you get it all done. Good job!

  28. anonymous
    • one year ago
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    @mathstudent55 thanks, i honestly have no idea how people can memorize this. I'm good at every other subject but math just gets me lol

  29. mathstudent55
    • one year ago
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    Each of us has our strong and weak subjects. This way we can help each other.

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