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mariomintchev Group Title

5x+5y=1 25x+ky=4 solve for k

  • one year ago
  • one year ago

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  1. Kuoministers Group Title
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    there is few ways of working this out. Elimination, Substitution and maybe multiplication

    • one year ago
  2. Kuoministers Group Title
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    which way do you prefer?

    • one year ago
  3. mariomintchev Group Title
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    i need my mind refreshed. whichever method works best is the method i choose.

    • one year ago
  4. Kuoministers Group Title
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    ill use substitution then :P x = \[x = y - \frac{ 1 }{ 5 }\] 25x + ky = 4

    • one year ago
  5. Kuoministers Group Title
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    25(y - \[25(y - \frac{ 1 }{ 5 }) + ky = 4\]

    • one year ago
  6. Kuoministers Group Title
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    \[25y - 5 + ky = 4\]

    • one year ago
  7. Kuoministers Group Title
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    do you get it now?

    • one year ago
  8. mariomintchev Group Title
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    howd u get y-(1/5)?

    • one year ago
  9. Kuoministers Group Title
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    divide everything in the first equation by 5

    • one year ago
  10. Kuoministers Group Title
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    there is no solution :)

    • one year ago
  11. Kuoministers Group Title
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    ill use elimination now

    • one year ago
  12. Kuoministers Group Title
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    times the first equation by -5 -25x - 25y = -5 25x + ky = 4

    • one year ago
  13. Kuoministers Group Title
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    now add this equation vertically together. it would give you k=25

    • one year ago
  14. mariomintchev Group Title
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    i probably shoulda phrased the question the way they have it on my hw. it says: Determine the value of k for which the system of linear equations has no solutions.

    • one year ago
  15. Kuoministers Group Title
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    haha great :/ u say that now

    • one year ago
  16. Kuoministers Group Title
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    you know why there is no solution? if you sub K = 25 it wont work

    • one year ago
  17. mariomintchev Group Title
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    :(

    • one year ago
  18. mariomintchev Group Title
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    yes?

    • one year ago
  19. mariomintchev Group Title
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    because they equal different things

    • one year ago
  20. Kuoministers Group Title
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    \[\Huge{\color{Purple}{\\{\ \boxed{\mathbb{\text{}{}}{\color{green}{\color{blue}T{\color{purple}h{\color{pink}a{\color{red}nk}}}}}}}}} \] \[\Huge{\color{Purple}{\\{\ \boxed{\mathbb{\text{}{}}{\color{blue}Y{\color{green}o{\color{red}u}}}}}}} \]

    • one year ago
  21. mariomintchev Group Title
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    haha no, THANK YOU ! :)

    • one year ago
  22. mariomintchev Group Title
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    ok i have another one lol this one wants the k to have an infinite amount of solutions

    • one year ago
  23. mariomintchev Group Title
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    49x-49y=49 7x+ky=7

    • one year ago
  24. mariomintchev Group Title
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    the answer is not 1,7,49,1/7, or 1/49.

    • one year ago
  25. mariomintchev Group Title
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    @Kuoministers

    • one year ago
  26. Kuoministers Group Title
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    sorry been bit busy

    • one year ago
  27. Kuoministers Group Title
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    so do you have an idea where to start?

    • one year ago
  28. Kuoministers Group Title
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    i would times the 2nd equation by 7

    • one year ago
  29. mariomintchev Group Title
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    ok...

    • one year ago
  30. Kuoministers Group Title
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    do you undertand this yet lol?

    • one year ago
  31. Kuoministers Group Title
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    49x-49y=49 7x+ky=7 49x-49y=49 49x + 7ky = 49

    • one year ago
  32. mariomintchev Group Title
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    dont know where to go from there

    • one year ago
  33. Kuoministers Group Title
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    -49y - 7ky = 0 -7y(7 + k) = 0

    • one year ago
  34. mariomintchev Group Title
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    how do we get the k from that

    • one year ago
  35. Kuoministers Group Title
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    im bit confused :P you sure their is more than 1 answer??

    • one year ago
  36. mariomintchev Group Title
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    its 1 answer

    • one year ago
  37. Kuoministers Group Title
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    oh u said this one wants the k to have an infinite amount of solutions

    • one year ago
  38. mariomintchev Group Title
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    1 K but infinite solutions we need the K

    • one year ago
  39. Kuoministers Group Title
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    y(7 + k ) = 0 from this can you find K? im pretty sure you can :P

    • one year ago
  40. Kuoministers Group Title
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    hint: you only need to look at this question to get K

    • one year ago
  41. mariomintchev Group Title
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    ok its -7 lol

    • one year ago
  42. mariomintchev Group Title
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    im feeling slooow ha

    • one year ago
  43. Kuoministers Group Title
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    ok i g2g now :)

    • one year ago
  44. Kuoministers Group Title
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    have fun with your maths

    • one year ago
  45. mariomintchev Group Title
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    haha see ya.

    • one year ago
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