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If ( t + 5 ) /( t - 5 ) = 10 , what...

If ` ( t + 5 ) /( t - 5 ) = 10 `, what is the value of ` t ` ?

A

` (45 ) /(11) `

B

` 5 `

C

` (11)/(2) `

D

` ( 55 )/(9) `

Text Solution

Verified by Experts

The correct Answer is:
D
Multiplying each side of ` ( t + 5)/( t -5) ` by `t − 5 `gives `t + 5 = 10(t − 5)`. Distributing the 10 over the values in the parentheses yields `t + 5 = 10t − 50`. Subtracting t from each side of the equation gives `5 = 9t − 50`, and then adding 50 to each side gives `55 = 9t`. Finally, dividing each side by 9 yields `t = (55)/( 9) .
Choices A, B, and C are incorrect and may be the result of calculation errors or using the distribution property improperly.
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