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1 vote
−3|y−3|=9
Solve. SHOW YOUR WORK FOR FULL CREDIT!

User Gal Marom
by
6.2k points

2 Answers

6 votes
-3|y-3| = 9
>> |y-3| = 9/(-3)
>> |y-3| = -3

Since modulus of any expression is always positive, it follows that |y-3| is always positive. So |y-3| = -3 has NO SOLUTION.
User Nachiket Kate
by
6.5k points
3 votes
Hello there!

Let's solve your equation step-by-step.3(|y−3|)=9
Step 1: Divide both sides by -3.3(|y−3|)−3=9−3|y−3|=−3
Step 2: Solve Absolute Value.|y−3|=−3
No solutions. (Absolute value cannot be less than 0.)
Answer:No solutions.

Hope this helps!
User Miguel Reyes
by
5.7k points