Answer:
(2,0)
(-3,-5)
x = 2,-3
Step-by-step explanation:
y = 4-x^2
x-y =2
Substitute the first equation into the second for y
x - (4-x^2) =2
Distribute
x - 4 +x^2 =2
Subtract 2 from each side
x-4+x^2 -2 = 2-2
x^2 +x -6 = 0
Factor
(x-2) (x+3) =0
Using the zero product property
x-2=0 x+3=0
x=2 x=-3
Now find y for each x
x=2
y =4-x^2 = 4 -2^2 =4-4=0
(2,0)
x=-3
y = 4 - (-3)^2 =4 -9 = -5
(-3,-5)
