Question

Solve the system by substitution.
y=x2 – 2x+1
y= 2x+1

Answer 1

(0 , 1), (4, 9).

Explanation:

y = x2 – 2x+1

y = 2x+1

Substitute y = 2x + 1 into the first equation.

2x + 1 = x^2 - 2x + 1

x^2 - 2x - 2x = 0

x^2 - 4x = 0

x(x - 4) = 0

x = 0, 4.

When x = 0, y = 1.

When x = 4, y = 8 + 1 = 9.