Question

Billy graphed the system of linear equations to find an approximate solution. y = x + y = x – 3 Which points are possible approximations for this system? Check all that apply. (1.9, 2.5) (2.2, –1.4) (2.2, –1.35) (1.9, 2,2) (1.9, 1.5)

Answer 1

(2.2,-1.4) (2.2,-1.35)

Explanation:

Answer 2

`(2.2,-1.4)`

`(2.2,-1.35)`

Explanation:

see the attached figure to better understand the problem

we know that

The solution of the system of linear equations is equal to the intersection point both graphs

In this problem

The x-coordinate of the intersection point belong to the interval

`(2,3)`

The y-coordinate of the intersection point belong to the interval

`(-2,-1)`

the points that are possible approximations for this system must be satisfy both intervals

Point
`(1.9,2.5)` -----> does not satisfy the interval of the x and y coordinates

Point
`(2.2,-1.4)` -----> is possible approximation for this system

Point
`(2.2,-1.35)` -----> is possible approximation for this system

Point
`(1.9,2.2)` -----> does not satisfy the interval of the x and y coordinates

Point
`(1.9,1.5)` -----> does not satisfy the interval of the x and y coordinates