Answer
(a) $y=3$
(b) $y=-10$
Work Step by Step
(a) As $0\leq0$, we use the first equation $y=\frac{3}{2}x+3$.
Substituting $0$ for $x$, we have
$y=\frac{3}{2}(0)+3$.
Simplifying, we obtain
$y=3$.
(b) As $5\gt0$, we use the second equation $y=-2x$.
Substituting $5$ for $x$,we have
$y=-2(5)$.
Simplifying, we get
$y=-10$.