Answer: [tex]x=\frac{8}{5}y-1[/tex]
Step-by-step explanation:
[tex]-5x+8y=5[/tex]
[tex]-5x+8y+-8y=5+-8y[/tex]
[tex]-5x=-8y+5[/tex]
[tex]\frac{-5x}{-5} = \frac{-8y+5}{-5}[/tex]
[tex]x=\frac{8}{5} y-1[/tex]