Question 299148
a/a-6=-2/a-1 solve, list any restrictions
:
Assume the problem is:
{{{a/(a-6)}}} = {{{(-2)/(a-1)}}}
Cross multiply, results
a(a-1) = -2(a-6)
:
a^2 - a = -2a + 12
:
a^2 - a + 2a - 12 = 0
:
a^2 + a - 12 = 0
Factors to
(a+4)(a-3) = 0
Two solutions
a = -4
a = +3
:
:
Check both solutions in original problem
a-4
{{{(-4)/(-4-6)}}} = {{{(-2)/(-4-1)}}}
{{{(-4)/(-10)}}} = {{{(-2)/(-4-1)}}}
and a=3
{{{3/(3-6)}}} = {{{(-2)/(3-1)}}}
{{{3/(-3)}}} = {{{(-2)/(2)}}}