Question

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

Answer 1

option A

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

`4x-5y=-5\ and \ x+10y=-20`

`4x - 5y =-5`

Plug in the given point

`4(-2.7) - 5(-1.2) =-5`

-4.8 = -5

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

`3x+10y = -20`

`3(-2.7)+10(-1.2) = -20`

20.1= 20

It is approximately same

`4x - 5y =-5` and
`3x+10y = -20` satisfies the given solution

Answer 2

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