Chapter 9 - Quadratic Functions and Equations - 9-8 Systems of Linear and Quadratic Equations - Practice and Problem-Solving Exercises - Page 585: 18

$(8,42)$, $(-2,2)$

$y=x^2-2x-6$ $y=4x+10$ $x^2-2x-6=4x+10$ $x^2-2x-6-4x-10=4x+10-4x-10$ $x^2-6x-16=0$ $(x-8)(x+2)=0$ $x-8=0$ $x-8+8=0+8$ $x=8$ $x+2=0$ $x+2-2=0-2$ $x=-2$ $y=4x+10$ $y=4*8+10$ $y=32+10$ $y=42$ $y=4x+10$ $y=4*-2+10$ $y=-8+10$ $y=2$