# The first three steps in determining the solution set of the system of equations algebraically are shown.
y = x2 − x − 3

y = −3x + 5

What are the solutions of this system of equations?

answered: Nathaliasmiles

28.06.2019 06:30

The last one bc that's a calendar

answered: princess6039

26.06.2019 19:10

answer: i realy don't get it that much can you me figer it out pleas you

step-by-step explanation:

answered: dezmondpowell

26.06.2019 06:00

is should be y = 5x

step-by-step explanation:

correct me if im wrong

answered: wilsonabbi6

30.01.2022 20:31

(- 4, 17 ) and (2, - 1 )

Step-by-step explanation:

Given the 2 equations

y = x² - x - 3 → (1)

y = - 3x + 5 → (2)

Substitute y = x² - x - 3 into (2)

x² - x - 3 = - 3x + 5 ( subtract - 3x + 5 from both sides )

x² + 2x - 8 = 0 ← in standard form

(x + 4)(x - 2) = 0 ← in factored form

Equate each factor to zero and solve for x

x + 4 = 0 ⇒ x = - 4

x - 2 = 0 ⇒ x = 2

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

x = - 4 : y = - 3(- 4) + 5 = 12 + 5 = 17 ⇒ (- 4, 17 )

x = 2 : y = - 3(2) + 5 = (- 6 + 5 = - 1 ⇒ (2, - 1 )

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