Type the correct answer in each box.

For three consecutive years, Sam and Sally invested money at the start of each year.

- The first year, Sam invested [tex]$x$[/tex].
- The second year, he invested half the amount he invested the first year.
- The third year, he invested [tex]$1,000 more than \(\frac{1}{5}\) of the amount he invested the first year.

- The first year, Sally invested $[/tex]y[tex]$.
- The second year, she invested $[/tex]1,500 less than 2 times the amount Sam invested the first year.
- The third year, she invested the same amount as Sam invested the first year.

If Sam and Sally invested the same total amount at the end of three years, the amount Sam invested the first year is [tex]$\boxed{\text{ }}$[/tex].