Final answer:
The statement t 5/t 8 = t 3 is false. The correct solution is 5/8t = 3t, and the value of t is 0.
Step-by-step explanation:
The statement t 5/t 8 = t 3 is false. To determine the correct solution, we need to evaluate each side of the equation.
On the left side, t 5/t 8 simplifies to (5/t) * (1/8) = 5/8t. On the right side, t 3 simplifies to t * 3 = 3t. Therefore, the correct solution is 5/8t = 3t.
To find the value of t, we can cross multiply. We get 5 * 3t = 8t, which simplifies to 15t = 8t. Subtracting 8t from both sides, we get 15t - 8t = 0. Combining like terms, we have 7t = 0. Now dividing both sides by 7, we find that t = 0.