Answer:
False,
(-4, -1) is not a solution of the given system of equations
Step-by-step explanation:
Given the system of equations:
[tex]3x+8y =20[/tex] .......[1]
[tex]-5x+y =19[/tex] ......[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.
[tex]3(-4)+8(-1)=20[/tex]
⇒[tex]-12-8 = 20[/tex]
⇒[tex]-20 = 20[/tex] False.
[tex]-5(-4)+(-1)=19[/tex]
⇒[tex]20-1 = 19[/tex]
⇒[tex]19=19[/tex] 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. [tex]3x+8y=20[/tex] and [tex]-5x+y=19[/tex]
To find : Is the statement true or false?
Solution :
Let the equations,
[tex]3x+8y=20[/tex] .....Equation (1)
[tex]-5x+y=19[/tex] .......Equation (2)
Now, We have to determine that (-4,-1) is a solution of equations or not.
Substitute (-4,-1) in equation (1)
[tex]3x+8y=20[/tex]
[tex]3(-4)+8(-1)=20[/tex]
[tex]-12-8 = 20[/tex]
[tex]-20= 20[/tex]
False, The point is not satisfied the equation.
Substitute (-4,-1) in equation (2)
[tex]-5x+y=19[/tex]
[tex]-5(-4)+(-1)=19[/tex]
[tex]20-1 = 19[/tex]
[tex]19=19[/tex]
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.
