Answer
$x=\frac{-2}{3}$
$y=-1$
Work Step by Step
(1)$x = \frac{2}{3}-\frac{4}{3}y $ and (2) $2x + 5y=-1$
Use x in (1) for x in (2) we get
$2(\frac{2}{3}-\frac{4}{3}y ) + 5y = -1$
$\frac{7}{3}y=-\frac{7}{3}$
$y=-1$
$x=\frac{2}{3}-\frac{4}{3}y=\frac{-2}{3}$