You have $$11,000$ to invest in a stock portfolio. Your choices are Stock $x$ with an expected return of $15$ percent and Stock $Y$ with an expected return of $10$ percent. Assume your goal is to create a portfolio with an expected return of $13\mathrm{.}85$ percent. How much money will you invest in Stock $x$ and Stock $Y?$

Note: Do not round intermediate calculations and round your answers to $2$ decimal places, e$.$g$.,32\mathrm{.}16.$

$\backslash$table$[[$Investment in Stock $x,],[$Investment in Stock $Y,]$