Answer:
1.When (-1,-4) is substituted into the first equation, the equation is false. FALSE
2. When (-1,-4) is substituted into the first equation, the equation is true. TRUE
3. When (-1,-4) is substituted into the second equation, the equation is false.
FALSE
4. When (-1,-4) is substituted into the second equation, the equation is true. TRUE
5.The ordered pair (-1,-4) is a solution to the system of linear equations .TRUE
6.The ordered pair (-1,-4) is not a solution to the system of linear equations.
FALSE
Explanation:
Here, the given set if equations are:
x - y = 3
7 x - y = - 3
Now, substituting the given value (-1,-4) in the given equations, we get
(1) Substitute (-1, -4) in first equation:
x - y = 3 : (-1, -4)
⇒ (-1) - (-4) = -1 + 4 = 3 = Right Side
So, the equation x - y = 3 holds TRUE for (-1,-4)
(2) Substitute (-1, -4) in second equation:
7 x - y = - 3 : (-1, -4)
⇒ 7(-1) - (-4) = -7 + 4 = -3 = Right Side
So, the equation 7 x - y = - 3 holds TRUE for (-1,-4)
Now, the given options are:
When (-1,-4) is substituted into the first equation, the equation is false. FALSE, equation is satisfied.
When (-1,-4) is substituted into the first equation, the equation is true.
TRUE
When (-1,-4) is substituted into the second equation, the equation is false.
FALSE, the given equation is satisfied.
When (-1,-4) is substituted into the second equation, the equation is true.
TRUE
The ordered pair (-1,-4) is a solution to the system of linear equations .
TRUE,as the given point satisfies both the equations.
The ordered pair (-1,-4) is not a solution to the system of linear equations.
FALSE,as the given point satisfies the equation.