Answer:
[tex]\left \{ {{x=4\frac{4}{25}} \atop {y=\frac{4}{5}}} \right.[/tex]
Step-by-step explanation:
[tex]\left \{ {{5x-6y=16} (1)\atop {5y=4} (2)} \right.[/tex]
[tex]\therefore y=\frac{4}{5}[/tex]
Substitute into equation (1)
[tex]5x-6*\frac{4}{5}=16[/tex]
[tex]5x-\frac{24}{5}=16[/tex]
[tex]25x-24=80\\25x=104\\x=\frac{104}{25}\\=4\frac{4}{25}[/tex]