Question

Which points satisfy this linear-quadratic system of

equations?
x + y = 1
y = 4x - 3- x2


A. (-1, 2) and (4, -3)
B. (1, 2) and (4,5)
C. (1,0) and (4, -3)
D. (2, -1) and (3,-2)

Answer 1

OPTION C

Explanation:

WE HAVE:

x + y = 1

y = 4x - 3- x^2

option c: (1,0) and (4, -3)

using (1,0):

x + y = 1

1+0=1

y = 4x - 3- x^2

0=4(1)-3 -(1)^2

0=0

using (4, -3):

x + y = 1

4-3=1

y = 4x - 3 - x^2

-3=4(4) -3-(4)^2

-3=16-3-16

-3=-3

the answer is C