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anonymous

  • 5 years ago

translate to a system of equations and solve Molly is 4 years is younger than heidi in 3 years Heidi will be ticw as old as Molly. how old are they now?

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  1. anonymous
    • 5 years ago
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    \[Molly + 4 = Heidi\] \[2*(Molly + 3) = Heidi + 3\] Can you solve it on your own?

  2. anonymous
    • 5 years ago
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    no

  3. anonymous
    • 5 years ago
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    you know from the first statement/equation, that Heidi = Molly + 4 . I you substitute this into the second Equation it looks like this: \[2 * (Molly + 3) = (Molly + 4) + 3\] So now you can solve for Molly and plug it back into either the first or the second equation...

  4. anonymous
    • 5 years ago
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    so it is 6 and 11

  5. radar
    • 5 years ago
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    I don't think so, because it was said that Molly is 4 years younger than Heidi, and 11-6=5 should be 4!!

  6. anonymous
    • 5 years ago
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    then how old are they now??

  7. radar
    • 5 years ago
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    You got Heidi's age correct. Review your work and see if you made an arithmetical error.

  8. radar
    • 5 years ago
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    Actually you did not get heidi's age right. They are both wrong.

  9. radar
    • 5 years ago
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    Do this one over and see what you get. 2 * (Molly + 3)= (Molly +4)+3 What did you get for Molly?

  10. radar
    • 5 years ago
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    Let M= Mollly, so that it will look like this: 2(M+3)=(M+4)+3

  11. radar
    • 5 years ago
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    Solve for M

  12. radar
    • 5 years ago
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    The solution is for their age now.

  13. anonymous
    • 5 years ago
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    2 and 6???

  14. radar
    • 5 years ago
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    Lets see where you are going with this. starting with the eequation 2(M+3)=(M+4)+3 Remove paren' 2M+6=M+4+3 consolidating like terms 2M+6=M+7 do we agree thus far?

  15. radar
    • 5 years ago
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    Next step is to subtract 1M and 6 from both sides of the equal sign. 2M-M+6-6=M-M+7-6 Consolidating similar terms Now you have Molly's age!

  16. radar
    • 5 years ago
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    What did you get when you combined the terms of the equation?

  17. radar
    • 5 years ago
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    Have you reached the point where you discovered your previous error?

  18. anonymous
    • 5 years ago
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    so it is one and five?????

  19. radar
    • 5 years ago
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    Absolutely it checks out.

  20. radar
    • 5 years ago
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    Anything about the solution method that you haves questions or comments ??

  21. anonymous
    • 5 years ago
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    it is 1 and 5??? did i get it right???

  22. anonymous
    • 5 years ago
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    yes, it it - you got the right answer.

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