The ordered pair (-3, 1) is not a solution to system because it makes at least one of the equations false
<em><u>Solution:</u></em>
<em><u>Given system of equations are:</u></em>
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
<em><u>Let us substitute (x, y) = (-3, 1) in eqn 1</u></em>
![-3 - 4(1) = 6\\\\-3 - 4 = 6\\\\-7\neq 6](https://tex.z-dn.net/?f=-3%20-%204%281%29%20%3D%206%5C%5C%5C%5C-3%20-%204%20%3D%206%5C%5C%5C%5C-7%5Cneq%206)
Thus the given ordered pair (-3, 1) did not satisfy the first equation
<em><u>Substitute (x, y) = (-3, 1) in eqn 2</u></em>
![3(-3) + 1 = -8\\\\-9 + 1 = -8\\\\-8 = -8](https://tex.z-dn.net/?f=3%28-3%29%20%2B%201%20%3D%20-8%5C%5C%5C%5C-9%20%2B%201%20%3D%20-8%5C%5C%5C%5C-8%20%3D%20-8)
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