  Recent studies on supersolidity in a single-component Bose-Einstein
condensate (BEC) have relied on the Lee-Huang-Yang (LHY) correction for
stabilization of self-bound droplets, which however involves a high density
inside the droplets, limiting the lifetime of the supersolid. Here we propose a
two-component mixture of dipolar and nondipolar BECs, such as an
$^{166}$Er-$^{87}$Rb mixture, to create and stabilize a supersolid without the
LHY correction, which can suppress the atomic loss and may allow observation of
the long-time dynamics of the supersolid. In such a system, supersolidity can
be controlled by the difference in the trap centers between the two components.
