Question

HELPPPPPPPPPPPPPPPPWhich statements are true about the ordered pair(-1, -4) and the system of

equations?
x - y = 3
7x – y = -3
Select each correct answer.
When (-1,-4) is substituted into the second equation, the equation
is true.
The ordered pair (-1,-4) is a solution to the system of linear
equations.
When (-1,-4) is substituted into the first equation, the equation is
true.
When (-1,-4) is substituted into the second equation, the equation
is false.
When (-1,-4) is substituted into the first equation, the equation is
false.
The ordered pair (-1,-4) is not a solution to the system of linear
equations.

Answer 1

When (-1,-4) is substituted into the second equation, the equation is true.

The ordered pair (-1,-4) is a solution to the system of linear equations.

When (-1,-4) is substituted into the first equation, the equation is true.

Explanation:

Given

`x - y = 3`

`7x - y = -3`

Required

What is true about
`(x,y) = (-1,-4)`

To do this, we substitute -1 for x and -4 for y in both equations;

For
`x - y = 3`

`-1 - (-4) = 3`

`-1 + 4 = 3`

`3 = 3`

Hence:
`(-1,-4)` is true for
`x - y = 3`

For
`7x - y = -3`

`7(-1) - (-4) = -3`

`-7 +4 = -3`

`-3 = -3`

Hence:
`(-1,-4)` is true for
`7x - y = -3`