3. The equation of the line passing through the intersection points of the parabolas
$$
y=2 x^{2}-2 x-1 \text { and } y=-5 x^{2}+2 x+3
$$

is $\qquad$ .
3. $6 x+7 y-1=0$.

Solve the system of equations
$$
\left\{\begin{array}{l}
y=2 x^{2}-2 x-1, \\
y=-5 x^{2}+2 x+3 .
\end{array}\right.
$$
$5 \times$ (1) $+2 \times$ (2) and simplify to get
$$
6 x+7 y-1=0
$$