The vectors

are linearly independent if the ONLY solution to the following equation:

is
If it was bought after 10% discount, it means it was bought at 90% of the original price:
90% = $450
1% = $5
100% = $5 x 100
100% = $500
The original price of the Play Station was $500.
It's the same as x^211 = 8^152
Simplify that equation. Find the 211th root of (8^152), and that is what x equals. If I remember logs correctly...