cornejo43 cornejo43
  • 25-06-2022
  • Mathematics
contestada

What are the solutions to the following system of equations?
y = x² + 7x-5
2x - y = -9

Respuesta :

xenia168
xenia168 xenia168
  • 25-06-2022

Answer:

Step-by-step explanation:

y = x² + 7x - 5 ............ (1)

2x - y = - 9 ................ (2)

(1) ------> (2)

2x - ( x² + 7x - 5 ) = - 9

- x² - 5x + 14 = 0 ........ (3)

- 1 × (3)

x² + 5x - 14 = 0

( x + 7 )( x - 2 ) = 0

[tex]x_{1}[/tex] = - 7 and [tex]x_{2}[/tex] = 2

2( - 7) - [tex]y_{1}[/tex] = - 9 ⇒ [tex]y_{1}[/tex] = - 5

2(2) - [tex]y_{2}[/tex] = - 9 ⇒ [tex]y_{2}[/tex] = 13

The solutions of system are

( - 7, - 5 ) and ( 2, 13 )

Answer Link

Otras preguntas

what is most common type of dock used in the u.s. today
Define atomic mass and atomic number?
Need help with an essay and it cant look like plagiraism. How could using multiple methods of organization strengthen your expository writing? How could using m
Athenian constitution what kind of document is this? what was its purpose?
Name the property illustrated by this statement. 7. (2a + 3b) + 4c = 2a + (3b + 4c)
10 times as many as 1 hundred is
Si alguien es bueno en matemáticas, debe pensar en la carrera de _____.
Dialogue is important in a story for two reasons. What is one?
Which of the following is an is sample of an experimental scientific investigation A. Recording please sound of a glass breaking. B. Placing test tubes in
19. one step equations