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Mathematics
Aubrey Ross
20 October, 20:36
Solve the system of equations.
y=-4x
y = x2 - 12
+2
Answers (
1
)
Morgan Bray
Yesterday, 00:04
0
( - 6, 24) and (2, - 8)
Step-by-step explanation:
Given the 2 equations
y = - 4x → (1)
y = x² - 12 → (2)
Substitute y = x² - 12 into (1)
x² - 12 = - 4x (add 4x to both sides)
x² + 4x - 12 = 0 ← in standard form
(x + 6) (x - 2) = 0 ← in factored form
Equate each factor to zero and solve for x
x + 6 = 0 ⇒ x = - 6
x - 2 = 0 ⇒ x = 2
Substitute these values into (1) for corresponding values of y
x = - 6 : y = - 4 ( - 6) = 24 ⇒ ( - 6, 24)
x = 2 : y = - 4 (2) = - 8 ⇒ (2, - 8)
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