Question 178440
{{{3/(t-3)=5/(t+4)}}}
Multiply both sides by {{{(t-3)(t+4)}}} to get rid of the denominators.
{{{(3/(t-3))(t-3)(t+4) =(5/(t+4))(t-3)(t+4)}}}
{{{3(t+4)=5(t-3)}}}
{{{3t+12=5t-15}}}
{{{-2t=-27}}}
{{{highlight(t=27/2)}}}