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anonymous

  • one year ago

Solve the system by the method of your choice. Identify systems with no solution and systems with infinitely many solutions, using set notation to express their solution sets. 4x - 3y = 6 -12x + 9y = -24

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  1. anonymous
    • one year ago
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    @JoannaBlackwelder

  2. anonymous
    • one year ago
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    how do i solve this one

  3. anonymous
    • one year ago
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    is it like the last one we did

  4. JoannaBlackwelder
    • one year ago
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    It says you can use any method. Do you have a preference?

  5. anonymous
    • one year ago
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    i dont lol

  6. JoannaBlackwelder
    • one year ago
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    No, it is not a partial fraction decomp.

  7. JoannaBlackwelder
    • one year ago
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    I like the addition method. Let's use that.

  8. anonymous
    • one year ago
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    ok

  9. JoannaBlackwelder
    • one year ago
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    So, we need to make the equations so one variable cancels.

  10. JoannaBlackwelder
    • one year ago
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    When we add them

  11. JoannaBlackwelder
    • one year ago
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    |dw:1439920308781:dw|

  12. anonymous
    • one year ago
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    ok

  13. anonymous
    • one year ago
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    so do we cancel out the y or xes first

  14. JoannaBlackwelder
    • one year ago
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    Either is fine. What do we need to do to cancel the x's?

  15. anonymous
    • one year ago
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    add them together

  16. anonymous
    • one year ago
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    these are my answer

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  17. JoannaBlackwelder
    • one year ago
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    Ok, if we just add them together directly we get:

  18. JoannaBlackwelder
    • one year ago
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    |dw:1439920522907:dw|

  19. anonymous
    • one year ago
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    haha i just got that

  20. anonymous
    • one year ago
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    like the same time you diid but you posted it first

  21. JoannaBlackwelder
    • one year ago
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    Ok, but that doesn't cancel out either variable.

  22. JoannaBlackwelder
    • one year ago
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    So, we need to multiply up the equations so that when we add them, one of the variables cancels.

  23. anonymous
    • one year ago
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    ok so how do we do that

  24. JoannaBlackwelder
    • one year ago
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    |dw:1439920656644:dw|

  25. anonymous
    • one year ago
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    ok i still dont fully comprhend what you did there

  26. anonymous
    • one year ago
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    @JoannaBlackwelder

  27. JoannaBlackwelder
    • one year ago
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    I took the first equation and multiplied it by 4 so that the coefficients of the x terms are equal but opposite signs.

  28. anonymous
    • one year ago
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    ohh ok makes sence

  29. anonymous
    • one year ago
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    so is my answer c

  30. anonymous
    • one year ago
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    @JoannaBlackwelder

  31. anonymous
    • one year ago
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    @isaac4321

  32. JoannaBlackwelder
    • one year ago
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    No, we need to add the equations together now.|dw:1439921457921:dw|

  33. JoannaBlackwelder
    • one year ago
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    Both variables end up canceling out. And what is left over is not a true statement since 0 does not in fact equal -6

  34. JoannaBlackwelder
    • one year ago
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    When that happens, the equations have no solution.

  35. anonymous
    • one year ago
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    well umm my answer dont have that as a thing to choose

  36. JoannaBlackwelder
    • one year ago
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    D is the notation for no solution

  37. anonymous
    • one year ago
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    ohh i knew that lol

  38. JoannaBlackwelder
    • one year ago
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    No worries :-)

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