Question

How do you solve `3|2y-5|=27` and find any extraneous solutions?

Answer 1

`y=7, or, -2`

Explanation:

`3|2y-5|=27 rArr |2y-5|=9 rArr 2y-5=+-9`

Case I`: 2y-5=+9 rArr 2y=14 rArr y=7.`

Case II `: 2y-5=-9 rArr 2y=-4 rArr y=-2`

These values of `y` satisfy the given eqn. Hence, the soln.

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