Answer:
When
is substituted into the first equation, the equation is true
When
is substituted into the second equation, the equation is false
The ordered pair
is not a solution to the system of linear equations
Step-by-step explanation:
we have
--------> First equation
--------> Second equation
we know that
If a ordered pair is a solution of a system of linear equations
then
the ordered pair must be satisfy the first and the second equation of the system of linear equations
Statements
<u>case A)</u> When
is substituted into the first equation, the equation is false
The statement is false
Substitute the value of x and the value of y of the point
in the first equation
-------> is true
therefore
the point
is a solution of the first equation
<u>case B)</u> The ordered pair
is a solution to the system of linear equations
The statement is false
Because, the ordered pair
is not a solution of the second equation
Verify
Substitute the value of x and the value of y of the point
in the second equation
![2(2) - 2(3) = 2](https://tex.z-dn.net/?f=2%282%29%20-%202%283%29%20%3D%202)
------> is not true
therefore
the ordered pair
is not a solution of the second equation
<u>case C)</u> When
is substituted into the first equation, the equation is true
The statement is true
Substitute the value of x and the value of y of the point
in the first equation
-------> is true
therefore
the point
is a solution of the first equation
<u>case D)</u> When
is substituted into the second equation, the equation is false
The statement is true
Substitute the value of x and the value of y of the point
in the second equation
![2(2) - 2(3) = 2](https://tex.z-dn.net/?f=2%282%29%20-%202%283%29%20%3D%202)
------> is not true
<u>case E)</u> When
is substituted into the second equation, the equation is true
The statement is false
Substitute the value of x and the value of y of the point
in the second equation
![2(2) - 2(3) = 2](https://tex.z-dn.net/?f=2%282%29%20-%202%283%29%20%3D%202)
------> is not true
<u>case F)</u> The ordered pair
is not a solution to the system of linear equations
The statement is true
Because, the ordered pair
is not a solution of the second equation