the statement explains why the ordered pair is a solution to the system of equations. is the statement true or false?
the ordered pair (−4,−1) is a solution to the system of equations because when (−4,−1) is substituted into the equation, both equations are true.
3x+8y=20
−5x+y=19
true or false?

False,

(-4, -1) is not a solution of the given system of equations

Step-by-step explanation:

Given the system of equations:

           .......[1]

             ......[2]

To determine (-4, -1) is a solution

Substitute x = -4 and y = -1 in both the equations, if they both satisfied then it is a solution.

⇒

⇒         False.

⇒

⇒             True.

Since, the given statement is not true

because the ordered pair (-4, -1) does not satisfy the given system of equations.

False

Step-by-step explanation:

Given : The ordered pair (−4,−1) is a solution to the system of equations because when (−4,−1) is substituted into the equation, both equations are true.   and

To find : Is the statement true or false?

Solution :

Let the equations,

.....Equation (1)

.......Equation (2)

Now, We have to determine that (-4,-1) is a solution of equations or not.

Substitute (-4,-1) in equation (1)

False, The point is not satisfied the equation.

Substitute (-4,-1) in equation (2)

True, The point is satisfied the equation.

Since, The statement given is not true as ordered pair(-4,-1) is not satisfying the equation.

Therefore, The answer is false.