<PRE><B>Question 112593</B>
: Show the steps that you would take to solve the following algebraically:
4- X\X-2= -2\X-2
Assume you mean:
4 - {{{x/((x-2))}}} = {{{(-2)/((x-2))}}}
:
Multiply equation by (x-2) to get rid of the denominators:
4(x-2) - (x-2)*{{{x/((x-2))}}} = (x-2)*{{{(-2)/((x-2))}}}
:
Cancel out the denominators and you have
4(x-2) - x = -2
:
4x - 8 - x = -2
:
4x - x = -2 + 8
:
3x = +6
:
x = 2
:
:
b) What potential solution did you obtain? Explain why this is this not a solution.
:
Substituting 2 for x in the original equation gives you denominators of 0
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