find the values of x and y in the figure

[tex] \frac{5}{y} = \frac{5 + 3 }{y + x} [/tex]
[tex]5(y + x) = y( 5 + 3)[/tex]
[tex]5y + 5x = 8y[/tex]
[tex]5x = 8y - 5y[/tex]
[tex]5x = 3y[/tex]
[tex] \frac{x}{y} = \frac{3}{5} [/tex]
[tex]x = 3[/tex]
[tex]y = 5[/tex]