Question

HELP PLEASE

Answer 1

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 2

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.