Y=x^2-2x-1 and y=-3x+5 solved algebraically

Step-by-step explanation:

y=x²-2x-1

and y=-3x+5

x²-2x-1=-3x+5

x²+x-6=0

x²+3x-2x-6=0

x (x+3) - 2 (x+3) = 0

(x+3) (x-2) = 0

x=-3,2

when x=-3

y=-3*-3+5=9+5=14

when x=2

y=-3*2+5=-6+5=-1

so solutions are (-3,14) and (2,-1)