The ordered pair (-3, 1) is not a solution to system because it makes at least one of the equations false
Solution:
Given system of equations are:
x - 4y = 6 ------- eqn 1
3x + y = -8 ------------ eqn 2
Given ordered pair is (-3, 1)
We have to check if the options are true
Let us substitute (x, y) = (-3, 1) in eqn 1
[tex]-3 - 4(1) = 6\\\\-3 - 4 = 6\\\\-7\neq 6[/tex]
Thus the given ordered pair (-3, 1) did not satisfy the first equation
Substitute (x, y) = (-3, 1) in eqn 2
[tex]3(-3) + 1 = -8\\\\-9 + 1 = -8\\\\-8 = -8[/tex]
Thus the given ordered pair (-3, 1) satisfied the second equation
But for a ordered pair to be a solution to system of equations, it must satisfy both the equations
Thus the ordered pair (-3, 1) is not a solution to system because it makes at least one of the equations false
