Question

HELP ASAP

y = x + 2
y = x^2 + 2

Show all work in solving your system of equations algebraically.

Answer 1

(0, 2) and (1, 3)

Given equation's:

• y = x + 2

• y = x^2 + 2

Solve them simultaneously:

x + 2 = x^2 + 2

x^2 -x + 2 - 2 = 0

x^2 -x = 0

x(x - 1) = 0

x = 0, x = 1

Value of y's:

when x = 0, x + 2 = 0 + 2 = 2

when x = 1, x + 2 = 1 + 2 = 3

So, coordinates: (0, 2), (1, 3)