stokafighter
stokafighter stokafighter
  • 20-05-2022
  • Mathematics
contestada

y=x^(2) -2x - 3 and y = x - 3
find the zeroes by solving the system of equations using the subsitution method

Respuesta :

fieryanswererft
fieryanswererft fieryanswererft
  • 20-05-2022

Answer:

(0, -3) and (3, 0)

Explanation:

1st equation: y = x² -2x - 3

2nd equation : y = x - 3

Using substitution method:

x² -2x - 3 = x - 3            exchange sides

x² - 2x - x - 3 + 3 = 0    simplify

x² - 3x = 0                   take common factor

x(x - 3) = 0                    simplify

x = 0, 3

Solve for y:

when x is 0, y = x - 3 = 0 - 3 = -3

when x is 3, y = x - 3 = 3 - 3 = 0

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