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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?

Verified Answer :

Answer:

False,

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

Step-by-step explanation:

Given the system of equations:

\(3x+8y =20\)            .......[1]

\(-5x+y =19\)              ......[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.

\(3(-4)+8(-1)=20\)  

⇒\(-12-8 = 20\)

⇒\(-20 = 20\)         False.

\(-5(-4)+(-1)=19\)

⇒\(20-1 = 19\)

⇒\(19=19\)             True.

Since, the given statement is not true

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

Answer:

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.  \(3x+8y=20\) and \(-5x+y=19\)

To find : Is the statement true or false?

Solution :

Let the equations,

\(3x+8y=20\) .....Equation (1)

\(-5x+y=19\) .......Equation (2)

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

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

\(3x+8y=20\)

\(3(-4)+8(-1)=20\)

\(-12-8 = 20\)    

\(-20= 20\)    

False, The point is not satisfied the equation.

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

\(-5x+y=19\)

\(-5(-4)+(-1)=19\)

\(20-1 = 19\)    

\(19=19\)    

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.

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