<PRE><B>Question 70098</B>
Solve the system by graphing.
	x – y = –3
	x – y = 4

&lt;pre&gt;
To solve for the system of equation by graphing. We can solve this in three ways

1. Assume values of x or y. 
   Im going to assume values of x then use the equation to solve for y.
        &lt;b&gt; x - y = -3 &lt;/b&gt;                    &lt;b&gt;   x - y = 4 &lt;/b&gt;
        x      |       y                     x      |      y 
       -1      |       2                    -1      |     -5
        0      |       3                     0      |     -4  
        1      |       4                     1      |     -3

2. Find x and y-intercept or both equations. 
  Note: to find x intercept let y = 0 and for y-intercept, let x = 0.
    &lt;b&gt;x - y = -3&lt;/b&gt;                     &lt;b&gt;    x - y = 4&lt;/b&gt;
   if   x = 0        y = 0               if x = 0          y = 0
    0 - y = -3   x - 0 = -3             0 - y = 4      x - 0 = 4
        y = 3        x = -3                 y = -4         x = 4

3. Use slope intercept form y = mx + b to graph the equations. 
   m = slope, b = y-intercept
    &lt;b&gt;x - y = -3&lt;/b&gt;                     &lt;b&gt;    x - y = 4&lt;/b&gt;
           y = x + 3                             y = x - 4
      m = 1, b = 3                          m = 1, b = -4

Here is the graph
{{{graph (200, 200, -6, 5, -6, 6, x+3, x-4)}}} 

The graph shows that the lines formed is a parallel. 
Therefore, there is no solution.


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