Asked by Rebekkah
how do you solve |4x-5|=|2x+3|
Answers
Answered by
Jen
4x-5=2x+3
You need to get all the variables (letters, which would be x in this equation) on one side and the numbers on the other.
Adding 5 to both sides:
4x=2x+8
Subtracting 2x from both sides
2x=8
Dividing both sides by 2
x=?
You need to get all the variables (letters, which would be x in this equation) on one side and the numbers on the other.
Adding 5 to both sides:
4x=2x+8
Subtracting 2x from both sides
2x=8
Dividing both sides by 2
x=?
Answered by
MathMate
That correctly provides one possible solution out of two.
Because of the absolute value function, the equation can also be solved as:
(4x-5)=-(2x+3)
which can be transformed to
6x=2, or x=1/3
Because of the absolute value function, the equation can also be solved as:
(4x-5)=-(2x+3)
which can be transformed to
6x=2, or x=1/3
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