Final answer:
The ordered pair (1, -6) satisfies the first equation y = 3x - 9 but does not satisfy the second equation 5x + y = -31. Therefore, it is not a solution of the system.
Step-by-step explanation:
To determine whether the given ordered pair (1, -6) is a solution of the system, we need to plug the x and y values into each equation and see if the equations hold true.
- For the first equation, y = 3x - 9:
- Substitute x = 1 and y = -6 into the equation: -6 = 3(1) - 9.
- This simplifies to -6 = 3 - 9, which further simplifies to -6 = -6, showing the ordered pair satisfies the first equation.
- For the second equation, 5x + y = -31:
- Substitute x = 1 and y = -6 into the equation: 5(1) + (-6) = -31.
- This simplifies to 5 - 6 = -1, which does not equal -31, thus the ordered pair does not satisfy the second equation.
Since the ordered pair does not satisfy the second equation, it is not a solution to the system of equations.