Question 23441
This is not clear exactly what you mean.  Do you mean:
{{{4/(3u-6)=7/(3u+8)}}}?


If so, then remember this one?  {{{a/b=c/d}}} means that {{{a*d= b*c}}}


Likewise:
{{{4/(3u-6)=7/(3u+8)}}} means that {{{4*(3u+8) = 7*(3u-6) }}}


Multiply the parentheses:
{{{12u+ 32 = 21u - 42 }}}


Get all the variables on the right side by subtracting 12u from each side:
{{{12u - 12u + 32 = 21u -12u - 42 }}}

{{{ 32 = 9u- 42}}}


Add +42 to each side:
{{{32 +42 = 9u -42 + 42 }}}
{{{ 74 = 9u}}}


Divide both sides by 9

{{{u = 74/9 }}}


That's a pretty ugly answer, but that's life sometimes!!  It's a hard problem to check, and the check on one like this is probably harder than just solving it again.  If anyone finds an error, please send me an Email so I can fix it!!


R^2 at SCC