Question 1100461
How am i to get the solution to the equation |x-3|=2x+1?
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x-3 = 2x+1
x = 2x + 4
-x = 4
x = -4
Check:
|-4-3| = -7
|-7| = -7
NG
Absolute value cannot be negative.
--> extraneous solution
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-(x-3) = 2x+1
-x+3 = 2x+1
3 = 3x+1
3x = 2
x = 2/3
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Check:
|x-3|=2x+1
|(2/3 - 3)| = 4/3+1 = 7/3
|-7/3| = 7/3
No problem.
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