Let:
[tex]\begin{gathered} x=\text{pomegranates} \\ y=\text{peaches} \\ \end{gathered}[/tex]Albert wants to no more than $10.00. therefore:
[tex]\begin{gathered} 1.59x+1.19y\le10 \\ \end{gathered}[/tex]Albert wants to buy two pomegranates, so:
[tex]\begin{gathered} 1.59(2)+1.19y\le10 \\ 3.18+1.19y\le10 \\ \text{Solve for y:} \\ 1.19y\le10-3.18 \\ 1.19y\le6.82 \\ y\le\frac{6.82}{1.19} \\ y\le5.73 \end{gathered}[/tex]