Question

I need help ASAP please

Answer 1

D. x = 2, -3

Explanation:

y = 4 - x²

x - y = 2

x - 4 + x² = 2

x² + x - 6 = 0

x² + 3x - 2x - 6 = 0

x(x + 3) - 2(x + 3) = 0

(x - 2)(x + 3) = 0

x = 2, -3

x = 2, y = 4 - 2² = 0

x = -3, y = 4 - (-3)² = -5

Answer 2

(2,0)

(-3,-5)

x = 2,-3

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)