kobedelatorre
kobedelatorre kobedelatorre
  • 24-09-2020
  • Mathematics
contestada

what is the solution to this system?
3x+2y=45
4x+-y=5

Respuesta :

cromulent
cromulent cromulent
  • 25-09-2020

(I) [tex]3x + 2y = 45[/tex]

(II) [tex]4x - y = 5[/tex]

Get [tex]y[/tex] alone in equation (II)

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

Insert new equation (II) in equation (I)

[tex]3x + 2(4x - 5) = 45\\3x + 8x - 10 = 45\\3x + 8x = 45 + 10\\11x = 55\\x = 5[/tex]

Insert [tex]x = 5[/tex] in equation (II)

[tex]y = 4 \cdot 5 - 5\\y = 20 - 5\\y = 15[/tex]

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