leigh92087 leigh92087
  • 21-08-2019
  • Mathematics
contestada

x + 3y = −4 x + 5y = −6

Respuesta :

carlosego
carlosego carlosego
  • 21-08-2019

For this case we must solve the following system of equations:

[tex]x + 3y = -4\\x + 5y = -6[/tex]

We clear x of both equations:

[tex]x = -4-3y\\x = -6-5y[/tex]

We match:

[tex]-4-3y = -6-5y\\-3y + 5y = -6 + 4\\2y = -2\\y = \frac {-2} {2}\\y = -1[/tex]

We find the value of "x":

[tex]x = -4-3 (-1)\\x = -4 + 3\\x = -1[/tex]

Thus, the solution of the system is:

[tex](x, y): (- 1, -1)[/tex]

Answer:

[tex](x, y): (- 1, -1)[/tex]

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