Question 116236



Show the steps that you would take to solve the following algebraically:

{{{(4- x)/(x-2)= -2/(x-2)}}}………multiply both sides by {{{x-2}}}

{{{(4- x) (x-2)/(x-2)= -2(x-2)/(x-2)}}}……… cancelled out {{{x-2}}}

{{{4- x = -2}}}………move {{{-x}}} to the right and {{{-2}}} to the left

{{{4+2 = x }}}………

{{{x = 6}}}………Answer


Proof:
	
{{{(4- x)/(x-2)= -2/(x-2)}}}………plug in vale for {{{x}}}
	
{{{(4- 6)/(6-2)= -2/(6-2)}}}………

{{{- 2/4= -2/4}}}………since the if both sides of the = sign are same, {{{6}}} is our solution