Question

Solve the system y = 2x – 4 and y = (x – 1)2 – 5

Answer 1

Hello : 
y = 2x – 4   ...(1)
 y = (x – 1)² – 5....(2)
subsct in (2) : 
2x - 4 = (x – 1)² – 5
2x - 4 = x² -2x +1 -5 
x² -4x =0
x(x-4) =0
x= 0 or x = 4
if : x = 0       y = 2(0) -4 = -4 
if : x = 4       y = 2(4)-4 = 4
two solutions : (0, 4) , (4, 4 )