Answer:
(0, -5) and (2, -1)
Step-by-step explanation:
Since both equations have already been solved for y, the substitution method is the easiest approach here. Set the two equations equal to each other:
y = 2x - 5 = x^2 - 5 = y
Focusing on the variable x only, we get 2x - 5 = x^2 - 5.
Adding 5 to both sides results in 2x = x^2.
Factoring this result, we get x(2 - x) = 0, whose solutions are
x = 0 and x = 2.
Now find the corresponding y-values:
If x = 0, then y = 2(0) -5, or y = -5;
If x = 2, then y = 2(2) - 5, or y = -1
Writing the solutions as coordinate pairs: (0, -5) and (2, -1)
