zoeyjwesta12 zoeyjwesta12
  • 04-05-2020
  • Mathematics
contestada

1. 5x + 7y = 19
5x + 4y = 4
find both the x and y coordinates
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Respuesta :

MikeMart77
MikeMart77 MikeMart77
  • 04-05-2020

Answer:

(3.2, 5)

or

[tex]x = 3.2 \\ y = 5[/tex]

Step-by-step explanation:

I will use elimination for this one, by changing the 2nd equation by a factor of -1, to find y.

[tex] + 5x + 7y = 19 \\ - 5x - 4y = - 4 \\ - - - - - - - - \\ 3y = 15 \\ \\ y = 5 \\[/tex]

Now, substituting the y in the 1st equation, we solve for x.

[tex]5x + 7(5) = 19 \\ 5x + 35 = 19 \\ 5x = 16 \\ x = 3.2[/tex]

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