2. Given three linear functions: $y=a x+b+3, y=-b x+a-2, y=2 x-8$. It is known that the graphs of the first and second intersect on the y-axis, and the graphs of the second and third - on the x-axis. Find the point of intersection of the graphs of the first and third functions.
2. Answer: $(-3,-14)$. Solution: the first and second lines intersect at $x=0$, that is, $b+3=a-2$. The second and third lines intersect at $y=0$, therefore, $x=4$ and $-4b+a-2=0$. Thus, $b=1, a=6$, from which we get the answer.

Criteria: correct solution - 7 points; only the first relation between $a$ and $b$ found - 2 points; $a$ and $b$ found, but the point not found - 5 points.