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How do you solve for t in #s= (t + 7) / (t + 5)#?

Answer 1

Julia Adams

You must first send the denominator of the fraction into multiplication.

#s = (t + 7)/(t + 5)#

#s(t + 5) = t + 7#

#st + 5s - t - 7 = 0#

#st - t = 5s + 7#

#t(s - 1) = 5s + 7#

#t = (5s + 7)/(s - 1)#

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Answer 2

Isaiah Anthony

To solve for ( t ) in the equation ( s = \frac{t + 7}{t + 5} ), follow these steps:

Cross multiply to eliminate the denominator.
Expand and simplify the equation.
Solve for ( t ).

After solving, the solution is ( t = \frac{7s - 5s}{1 - s} ).

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.