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

x-y=3

7x-y=-3

question 1 options:

when (-1,-4) is substituted into the first equation, the equation is false.

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 second equation, the equation is true.

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

the ordered pair (-1,-4) is not a solution to the system of linear equations.

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.

correct answer:

b.(19,-2)

answer: a video game has three difficulty levels: easy, medium, and expert. the game's scoring works in such a way that a player has to score a fixed number of points to advance to the next level, and then the scoring starts over. the total score needed to clear all three difficulty levels is 7,500. two times the number of points needed to clear the easy level is 500 more than the number of points needed to clear the medium level. twice the number of points needed to clear the medium difficulty level is 1,500 more than the number of points needed to clear the expert level. if x, y, and z represent the easy, medium, and expert levels, respectively, and a is the coefficient matrix of the system of equations modeling this situation, identify the inverse matrix, a-1, and the solution matrix, x, of the system of equations.

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answers

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step-by-step explanation: