Answer:
(x, y) = {(-2, -3), (2, 5)}
Explanation:
You want to solve the system of equations y=x²+2x-3 and y=2x+1.
Solution
The two expressions for y can be equated, and the resulting equation put in standard form.
x² +2x -3 = 2x +1
x² -4 = 0 . . . . . . . . . . subtract (2x+1)
(x -2)(x +2) = 0 . . . . . factor
Values of x that make the factors zero are 2 and -2.
Corresponding values of y are ...
y = 2x +1 = 2(2) +1 = 5
y = 2(-2) +1 = -3
Solutions are ...
- (x, y) = (2, 5)
- (x, y) = (-2, -3)