Question

Solve the system of equations below by graphing.

x^2-2x+y -3=0
x^2+y=0

What is the solution rounded to the nearest hundredth?
(–2.25, –1.5)
(–1.5, –2.25)
(–0.82, –0.68)
(–0.68, –0.82)

Answer 1

Solve for y from each equation:
y = -x^2 + 2x + 3 and y = -x^2.
Set equal: -x^2 + 2x + 3 = -x^2 → 2x + 3 = 0 → x = -1.5.
Then y = -x^2 = -(-1.5)^2 = -2.25.

So the solution is (−1.5, −2.25) (rounded to the nearest hundredth: (−1.50, −2.25)).