A 2-column table with 6 rows. The first column is labeled x with entries negative 4, negative 2, 0, 2, 4, 6. The second column i
2 answers:
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Answer:
(- 1, 2) and (- ,
)
Step-by-step explanation:
Given the 2 equations
y = 2x² → (1)
y = - 3x - 1 → (2)
Substitute y = 2x² into (2)
2x² = - 3x - 1 ( add 3x and 1 to both sides )
2x² + 3x + 1 = 0 ← in standard form
(2x + 1)(x + 1) = 0 ← in factored form
Equate each factor to zero and solve for x
2x + 1 = 0 ⇒ 2x = - 1 ⇒ x = -
x + 1 = 0 ⇒ x = - 1
Substitute these values into (2) for corresponding values of y
x = - 1 → y = - 3(- 1) - 1 = 3 - 1 = 2 ⇒ (- 1, 2 )
x = - → y =
- 1 =
⇒ (-
,
)