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anonymous

  • one year ago

Circles M and K are congruent, QR is congruent to LN and OP is congruent to VW . Find x and y.

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  1. anonymous
    • one year ago
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  2. dessyj1
    • one year ago
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    Hi

  3. dessyj1
    • one year ago
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    Congruent means equal, so when they say QR is congruent to LN, they mean QR is equal to LN.

  4. dessyj1
    • one year ago
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    Since they want us to find x as well as y, and they give us two cases(LN=QR; OP=VW), it means we will probably have to use a system of equations.

  5. anonymous
    • one year ago
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    how do we do that?

  6. dessyj1
    • one year ago
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    Are you familiar with substitution and elimination?

  7. dessyj1
    • one year ago
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    |dw:1439264950385:dw|

  8. dessyj1
    • one year ago
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    |dw:1439265152284:dw|

  9. anonymous
    • one year ago
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    |dw:1439264918997:dw| I don't know... this is what I got ..

  10. dessyj1
    • one year ago
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    Elimination does not work with these equations. If it did you would be left with either just the x-variable in your answer or the y-variable in your answer, but not both at the same time.

  11. anonymous
    • one year ago
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    how do I do the other ones?

  12. dessyj1
    • one year ago
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    We have to use substitution. What we are going to do is pick one of the two original equations and completely isolate a variable. (either x or y will work).

  13. dessyj1
    • one year ago
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    It does not matter which equation you pick.

  14. dessyj1
    • one year ago
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    Can you do that?

  15. anonymous
    • one year ago
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    how do I isolate the variable ?

  16. dessyj1
    • one year ago
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    |dw:1439265518144:dw|

  17. dessyj1
    • one year ago
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    Do you understand what I did?

  18. anonymous
    • one year ago
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    yes!

  19. anonymous
    • one year ago
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    but would that be the answer? because it looks weird, and when I solved it (or attempted to) it was a decimal.

  20. dessyj1
    • one year ago
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    No. it is not. Okay, now we have to get the other equation and substitute y into it. Like so. |dw:1439265853745:dw|

  21. dessyj1
    • one year ago
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    We now have a one-variable equation.

  22. dessyj1
    • one year ago
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    Which means we can solve for x (yay!)

  23. anonymous
    • one year ago
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    |dw:1439266161322:dw|

  24. anonymous
    • one year ago
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    ??

  25. dessyj1
    • one year ago
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    Not quite. And I made a mistake. the y isolation is supposed to be |dw:1439266307629:dw|

  26. dessyj1
    • one year ago
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    the original equation was wrong.

  27. anonymous
    • one year ago
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    I'm really confused

  28. dessyj1
    • one year ago
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    I will now* solve for x.

  29. dessyj1
    • one year ago
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    |dw:1439266535709:dw|

  30. anonymous
    • one year ago
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    so x = 8?

  31. dessyj1
    • one year ago
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    no i am not done.

  32. dessyj1
    • one year ago
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    I have to completely isolate the x.

  33. dessyj1
    • one year ago
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    Listen, can we start over? Because if I keep on going, I may further confuse you.

  34. dessyj1
    • one year ago
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    Sorry...

  35. dessyj1
    • one year ago
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    The answer is x=4 and y=-1

  36. dessyj1
    • one year ago
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    I just made too many mistakes with typing...

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