Question

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

Answer 1

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

Step-by-step 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.