Help with this please

(- 3, 37) and (- , )

Step-by-step explanation:

Given the 2 equations

2x² - y + 19 = 0 → (1)

y + 11x = 4 → (2) ← subtract 11x from both sides

y = 4 - 11x → (3)

Substitute y = 4 - 11x into (1)

2x² - (4 - 11x) + 19 = 0

2x² - 4 + 11x + 19 = 0

2x² + 11x + 15 = 0 ← in standard form

(2x + 5)(x + 3) = 0 ← in factored form

Equate each factor to zero and solve for x

2x + 5 = 0 ⇒ 2x = - 5 ⇒ x = -

x + 3 = 0 ⇒ x = - 3

Substitute these values into (3) for corresponding values of y

x = - : y = 4 + = ⇒ (- , )

x = - 3 : y = 4 + 33 = 37 ⇒ (- 3, 37 )

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step-by-step explanation:

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