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x=8-3y
2x+6y=16
Table of values for x=8-3y
x | y
-1 | 3
5 | 1
11 |-1
Graph of x=8-3y
Table of values for 2x+6y=16
x | y
-4 | 4
2 | 2
8 | 0
Graph of 2x+6y=16
They are the same line, so they are a dependent system.
So the solution set is infinite, and is this:
{ (8-3y,y) | y ∈ R }
Edwin