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  • 07-08-2019
  • Mathematics
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What is the solution to the following system of equations? y = −x^2 − 5x − 4 y = −x^2 + 9x − 18

Respuesta :

Gasaqui
Gasaqui Gasaqui
  • 07-08-2019

Answer:

X=1   Y= -10

Step-by-step explanation:

[tex]Y=-x^{2} -5x-4 equation 1 \\Y=-x^{2} + 9x-18[/tex] equation 2

using equation 1, we substitute in equation 2

We have

[tex]-x^{2} -5x-4 = -x^{2} + 9x-18\\-14x=-14\\x=1\\[/tex]

so, we substitute the X value in equation2

we have>

[tex]y=-(1^{2})+ 9(1)-18)=-10\\y=-10[/tex]

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