<PRE><B>Question 153405</B>
Solve the equation |y-6|+2y=9
Rearrange:
|y-6| = 9-2y
y-6 = 9-2y or y-6 = -(9-2y)= 2y-9
3y = 15 or y = 3
y = 5 or y = 3
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Testing:
Does y = 5 ?
|5-6| + 2*5 = 9
1+10 = 9
False; so y=5 is not a solution.
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Testing:
Does y = 3  ?
|3-6| + 2*3 = 9
3 + 6 = 9
True ; so y=3 is the only solution.
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Cheers,
Stan H.


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