Question

Find the solution(s) to the system of equations. y= x^2 -2x -3 y= x -3

Answer 1

two solutions : (0,-3) , (3,0)

Explanation:

hello :

y= x² -2x -3 ...(*)

y= x -3....(**)

x²-2x-3 = x -3

x²-3x=0

x(x-3) = 0

x=0 or x-3=0

x=0 or x=3

but : y=x-3

1) x=0 y=0-3=-3

2) x=3 y=3-3=0

two solutions : (0,-3) , (3,0)