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soldi70 [24.7K]
3 years ago
9

-2|x-4|+7=-3 how do i solve this absolute value problem

Mathematics
1 answer:
ira [324]3 years ago
4 0
Let's do this step by step:
Subtract both sides by 7
-2|x-4|= -10
Divide each side by -2
|x-4|= 5
Now since this is an absolute value equation, you will have two answers. This means you make the equation both positive and negative.
X-4= 5and -(x-4)= 5
Solve for x for both
X-4= 5: add four on both sides
X= 9
-x+ 4= 5: subtract 4 and divide by -1
X= -1
So your answer is: X= -1 , 9
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In the image below you can see that between the points.

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