Solve the system of equations. x + y = 8 y = x2 – 4 (3,5) and (-4,12) (-3,11) and (4,4) (4,4) and (5,3) (12,-4) and (7,1)

asked Dec 10, 2024 108k views

3 votes

Solve the system of equations.

x + y = 8

y = x2 – 4

(3,5) and (-4,12)
(-3,11) and (4,4)
(4,4) and (5,3)
(12,-4) and (7,1)

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2 votes

Answer:

A)
(3,5) and
(-4,12)

Explanation:

$x+y=8\\x+(x^2-4)=8\\x^2+x-4=8\\x^2+x-12=0\\(x-3)(x+4)=0\\x_1=3,\,x_2=-4\\\\x_1+y=8\\3+y=8\\y_1=5\\\\x_2+y=8\\-4+y=8\\y_2=12$

David Bokan answered Dec 16, 2024

9.0k points

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