Question 1164238
<pre>
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

{{{drawing(400,400,-12,12,-12,12,


circle(-1,3+.05,.3), circle(5,1+.05,.3), circle(11,-1+.05,.3),
graph(400,400,-12,12,-12,12,(8-x)/3+.08)))}}}




Table of values for 2x+6y=16  

 x | y
-4 | 4
 2 | 2
 8 | 0

Graph of 2x+6y=16

{{{drawing(400,400,-12,12,-12,12,


circle(-4,4+.05,.3), circle(2,2+.05,.3), circle(8,0+.05,.3),
graph(400,400,-12,12,-12,12,(8-x)/3+.08), green(line(-13,7-.05,14,-2-.05))))}}}

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</pre>