Which systems of equations has a solution of approximately (-2.7,-1.2)

1)4x-5y=-5and 3x+10y=-20
2)4x-5y=5and3x+10y=20
3)4x-5y=5and3x+10y=-20
4)4x-5y=-5and3x+10y=20

Which systems of equations has a solution of approximately 2712 14x5y5and 3x10y20 24x5y5and3x10y20 34x5y5and3x10y20 44x5y5and3x10y20 class=

Respuesta :

The appropriate choice is ...
  1) 4x-5y=-5 and 3x+10y=-20
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Answer:

option A

Step-by-step explanation:

systems of equations has a solution of approximately (-2.7,-1.2)

To find system of equations , we plug in the given point  for x  and y in each option and check which two equations satisfies our given point

[tex]4x-5y=-5\ and \ x+10y=-20[/tex]

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

Plug in the given point

[tex]4(-2.7) - 5(-1.2) =-5[/tex]

-4.8 = -5

We are given with approximate solution, -4.8 is close to -5. So it satisfies our given solution

[tex]3x+10y = -20[/tex]

[tex]3(-2.7)+10(-1.2) = -20[/tex]

20.1= 20

It is approximately same

[tex]4x - 5y =-5[/tex] and [tex]3x+10y = -20[/tex] satisfies the given solution