4318230
4318230 4318230
  • 26-03-2021
  • Mathematics
contestada

Solve the systems of equations algebraically.Show all work.

Solve the systems of equations algebraicallyShow all work class=

Respuesta :

xenia168
xenia168 xenia168
  • 26-03-2021

Answer:

( - 1, 17 ) and ( 6, 3 )

Step-by-step explanation:

- 2(x - 2)² + 35 = - 2x + 15

- 2x² + 8x - 8 + 35 = - 2x + 15

2x² - 10x - 12 = 0

x² - 5x - 6 = 0

(x - 6)(x + 1) = 0

[tex]x_{1}[/tex] = - 1

[tex]y_{1}[/tex] = - 2( - 1) + 15 = 17

( - 1, 17 )

[tex]x_{2}[/tex] = 6

[tex]y_{2}[/tex] = - 2( 6 ) + 15 = 3

( 6, 3 )

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