SOLUTION: How would I solve this? The example on My Math lab said to multiply 10 and 6...why?
|8x-3|=6
-----
10
(the absolute value bars are around 8x-3 over 10.
Thanks!
Algebra ->
Absolute-value
-> SOLUTION: How would I solve this? The example on My Math lab said to multiply 10 and 6...why?
|8x-3|=6
-----
10
(the absolute value bars are around 8x-3 over 10.
Thanks!
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Question 560106: How would I solve this? The example on My Math lab said to multiply 10 and 6...why?
|8x-3|=6
-----
10
(the absolute value bars are around 8x-3 over 10.
Thanks! Found 2 solutions by stanbon, Edwin McCravy:Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website! |8x-3|=6
-----
10
---
If the fraction [(8x-3)/10] is in the absolute value sign
you get two equations:
(8x-3)/10 = 6 and (8x-3)/10 = -6
8x-3 = 60 or (8x-3)= -60
8x = 63 or 8x = -57
x = 63/8 or x = -57/8
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If the 10 is not in the absolute value sign you get
|8x-3| = 60
Then you get:
8x-3 = 60 or 8x-3 = -60
8x = 63 or 8x = -57
8x = 63/8 or x = -57/8
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Either way you get the same result.
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Cheers,
Stan H.
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= 6
To remove absolute value bars, you must make and solve two
separate equations.
= +6 and }} = -6
Multiply both sides of both equations by 10 to clear of fractions:
8x-3 = 60 and 8x-3 = -60
Add 3 to both sides of both equations:
8x = 63 and 8x = -57
x = and x =
Two solutions: and
Edwin