Question 317161
{{{(w-7)/(w-6)=(w-3)/(w-2)+1}}}
Multiply both sides by {{{(w-6)(w-2)}}}
{{{(w-7)(w-2)=(w-3)(w-6)+(w-6)(w-2)}}}
{{{(w-7)(w-2)=(w-6)(w-3+w-2)}}}
{{{(w-7)(w-2)=(w-6)(2w-5)}}}
{{{w^2-9w+14=2w^2-17w+30}}}
{{{w^2-8w+16=0}}}
{{{(w-4)^2=0}}}
{{{w-4=0}}}
{{{highlight(w=4)}}}
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Verify the solution.
{{{(4-7)/(4-6)=(4-3)/(4-2)+1}}}
{{{(-3)/(-2)=(1)/(2)+1}}}
{{{3/2=3/2}}}
True, good solution.