SOLUTION: t+10 / 7-t = 3 / t-7

Question 21944: t+10 / 7-t = 3 / t-7
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
first cross-multiply (multiply both sides by 7-t, then multiply both sides by t-7)
(t + 10)(t - 7) = 3(7 - t)
t^2 + 3t - 70 = 3(7 - t)
expanding
t^2 + 3t - 70 = 21 - 3t
expanding
t^2 +6t -91 = 0
adding 3t to both sides and subtracting 21 from both sides
use the quadratic formula:

you will get:

7, -13
if you substitute 7 into the original equation, you get 7 - 7 in both denominators. this says infinity = infinity.
if you substitute -13 into the original equation, you get:

the solutions check ok
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