Please Help! What are the solutions to the system of equations?

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Step-by-step explanation:

fhxfbfh hfdffcdbddfhb th

2nd option

Step-by-step explanation:

Given the equations

y = 2x² - 6x + 3 → (1)

y = x - 2 → (2)

Substitute y = 2x² - 6x + 3 into (2)

2x² - 6x + 3 = x - 2 ( subtract x - 2 from both sides )

2x² - 7x + 5 = 0 ← in standard form

(2x - 5)(x - 1) = 0 ← in factored form

Equate each factor to zero and solve for x

x - 1 = 0 ⇒ x = 1

2x - 5 = 0 ⇒ 2x = 5 ⇒ x = 2.5

Substitute these values into (2) for corresponding values of y

x = 1 : y = 1 - 2 = - 1 ⇒ (1, - 1 )

x = 2.5 : y = 2.5 - 2 = 0.5 ⇒ (2.5, 0.5 )

she will travel a distance in the range of 3 - 11 miles