Let:
x = Number of $1 bills
y = Number of $5 bills
We only know this equation:
[tex]\begin{gathered} 1x+5y=26 \\ x+5y=26_{\text{ }}\left(1\right) \end{gathered}[/tex]But we know:
[tex]x>y[/tex]Therefore, one possible solution would be:
[tex]\begin{gathered} x=16 \\ y=2 \\ 16>2_{\text{ }}true \\ 16+5\left(2\right)=26_{\text{ }}true \end{gathered}[/tex]Answer:
x = 16
y = 2