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Question 1113087:
Found 3 solutions by greenestamps, Shin123, MathTherapy:
Answer by greenestamps(13215) About Me  (Show Source):
You can put this solution on YOUR website!


If abs%287-3x%29=10 then either 7-3x=10 or 7-3x=-10

Solve each equation separately to find the two solutions.

That is basic algebra, so I leave it to you to finish the problem by this method.

It is often useful to interpret the absolute value equation abs%28x-a%29=b as meaning that b is the distance between x and a.

For example, abs%28x-3%29=5 means the distance between x and 3 is 5. So to find the two solutions you go a distance 5 either direction on a number line starting from 3; the two solutions are 3+5=8 and 3-5=-2.

To use this method on your problem, we need to put the equation in the form abs%28x-a%29=b:
abs%287-3x%29=10
abs%283x-7%29=10
abs%28x-7%2F3%29=10%2F3

So the two solutions are the numbers that are a distance 10/3 away from 7/3:
7%2F3%2B10%2F3+=+17%2F3 and 7%2F3-10%2F3+=+-3%2F3+=+-1.

Those of course are the answers you should get if you finish solving the problem by the method described at the beginning of my response.

Answer by Shin123(626) About Me  (Show Source):
You can put this solution on YOUR website!
abs%287-3x%29=10 7-3x=10 or 7-3x=-10
7-10=3x -7=3x -7%2F3=3x%2F3 x=-7%2F3
7-%28-10%29=3x 17=3x 17%2F3=3x%2F3 x=17%2F3 The 2 solutions are
-7%2F3 and 17%2F3

Answer by MathTherapy(10557) About Me  (Show Source):
You can put this solution on YOUR website!

10 = |7 - 3x|
Correct answers: