SOLUTION: SOLVE FOR X: |3x-7|+9=4

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Question 208122: SOLVE FOR X: |3x-7|+9=4
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

abs%283x-7%29%2B9=4 Start with the given equation


abs%283x-7%29=-5 Subtract 9 from both sides.


Since the expression abs%283x-7%29=-5 is never true (note: remember, the absolute value of any number is always positive), there are no solutions to abs%283x-7%29=-5

Also, notice if we graph y=abs%283x-7%29%2B9 and y=4(just set each side equal to y and graph), we get:

graph%28500%2C500%2C-10%2C10%2C-10%2C10%2Cabs%283x-7%29%2B9%2C4%29 Graph of y=abs%283x-7%29%2B9 (red) and y=4(green)

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