<PRE><B>Question 90868</B>
Show the steps that you would take to solve the following algebraically:
A) 5-2/x-6=10-2x/x-6
Assume you mean (a couple sets of brackets would help)
{{{5 - (2/((x-6)))}}} = {{{((10 - 2x))/((x-6)))}}}
:
multiply both sides by (x-6) to get rid of the denominators, resulting in:
5(x-6) - 2 = 10 - 2x
:
5x - 30 - 2 = 10x - 2x
:
5x - 32 = 10 - 2x
:
5x + 2x = 10 + 32
:
7x = 42
:
x = 42/7
:
x = 6
:
:
B) What potential solution did you obtain? x = 6
:
Explain why this is not a solution.
When you substitute 6 for x in the denominators, you have division by 0.</PRE>