If \frac{t+5}{t-5}=10,what is the value of t ?

SAT Mathematics Practice Test 4

Question : 10 of 58

Marks: +1, -0

{t+5}/{t-5}=10

,what is the value of t ?

Solution:

Multiplying each side of

{t+5}/{t-5}=10

, by

4t−5

gives

t+5=10(t−5)

. Distributing the

10

over the values in the parentheses yields

1t+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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