SOLUTION: -3|y-3|=9

Algebra ->  Algebra  -> Absolute-value -> SOLUTION: -3|y-3|=9      Log On

Ad: Algebrator™ solves your algebra problems and provides step-by-step explanations!
Ad: Algebra Solved!™: algebra software solves algebra homework problems with step-by-step help!

   

Question 106712This question is from textbook Algebra 1
: -3|y-3|=9This question is from textbook Algebra 1

Answer by jim_thompson5910(21685) About Me  (Show Source):
You can put this solution on YOUR website!

-3%2Aabs%28y-3%29=9 Start with the given equation


abs%28y-3%29=-3 Divide both sides by -3



Since the expression abs%28y-3%29=-3 is never true (note: remember, the absolute value of any number is always positive), there are no solutions to abs%28y-3%29=-3

Also, notice if we graph y=-3%2Aabs%28x-3%29 and y=9(just set each side equal to y and graph), we get:

graph%28500%2C500%2C-10%2C10%2C-10%2C10%2C-3%2Aabs%28x-3%29%2C9%29 Graph of y=-3%2Aabs%28x-3%29 (red) and y=9(green)

and we can see that the two graphs never intersect. So there are no solutions.