Final answer:
The system of linear equations from the given tables of values is y = -2x + 1, y = x + 2, and z = -x + 1. These equations are constructed by matching the values of x, y, and z from the tables.
Step-by-step explanation:
The system of linear equations from the given tables of values is:
y = -2x + 1
y = x + 2
z = -x + 1
These equations are obtained by matching the values of x, y, and z from the tables. For example, in the first table, when x = 0, y = 2; and when x = -4, y = 0. These values are used to construct the equation y = -2x + 1. Similarly, the other equations are determined using the corresponding values.