Answer
$a_x = -1.0~m/s^2$
$a_y = 0$
Work Step by Step
$F_x = -4.0~N + 2.0~N = -2.0~N$
$F_x = ma_x$
$a_x = \frac{F_x}{m}$
$a_x = \frac{-2.0~N}{2.0~kg}$
$a_x = -1.0~m/s^2$
$F_y = 3.0~N - 3.0~N = 0$
$F_y = ma_y$
$a_y = \frac{F_y}{m}$
$a_y = \frac{0}{2.0~kg}$
$a_y = 0$