Question 1199487
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You have the bonds and CD interest rates mixed up.
Also, your phrasing to set up x is incorrect.


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This is one way to set up the equation.


x = amount invested in the bonds
50,000 - x = amount invested in the CD
The two amounts add to $50,000


The bonds account pays 15% return
0.15x = amount earned from the bonds


While the CD gives 7%
0.07(50,000-x) = amount earned from the CD


Add up those items to get the total amount earned
<font color=red>0.15x + 0.07(50,000-x) = 6000</font>
it is set equal to 6000 since this is the desired amount Betsy wants to earn per year in extra income.


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An alternative equation.



y = amount invested in the CD
50,000 - y = amount invested in the bonds
I'm using another variable to avoid confusion.


The bonds account pays 15% return
0.15(50,000-y) = amount earned from the bonds


While the CD gives 7%
0.07y = amount earned from the CD


Add up those items to get the total amount earned
<font color=red>0.15(50,000-y) + 0.07y = 6000</font>


This matches what you have, but you used x instead of y. 
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