Without graphing, is the system independent, dependent, or inconsistent y = 2x - 8 and 2x - y = 8

Solution:

Given two equations:

y = 2x - 8 and 2x - y = 8

Let us re-arrange the terms in second equation

2x - y - 8 = 0

y = 2x - 8

Which is same as the first equation

We have two unknowns but only one equation.

Hence, it has no solution and inconsistent

Without graphing, is the system independent, dependent, or inconsistent y = 2x - 8 and 2x - y = 8

Summary:

Without graphing, the system y = 2x - 8 and 2x - y = 8 is inconsistent.