Question 68287
Solve the system by graphing. 
1. Write the following equation in slope-intercept form y = mx +b, where m = slope and b = y-intercept. we'll do this so that we can graph it easily.

--> x-y=2
    y = x - 2

m = 1 , b = -2 (y-intercept (0, -2)
Here is the graph for y = x - 2
{{{graph (200, 200, -2, 4, -5, 2, x-2)}}} 

--> 3x-3y=6
    3y = 3x - 6
    y = x - 6

m= 1, b = -6 (y-intercept (0, -6)

Here is the graph of y = x - 6

{{{graph (200, 200, -2, 4, -8, 2, x-6)}}} 

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Answer: green line represents the graph of y = x - 2
        red line represents the graph of y = x - 6

{{{graph (200, 200, -2, 4, -8, 2, x-6, x-2)}}} 

Since the lines were parallel therefore there is no solution. It is classified as Independent and Inconsistent system.