You can put this solution on YOUR website! solve each of the following systems by graphing. 2x - y = 4 and 2x - y = 6 (This is all one problem and on one graph).
:
These two equation have the same slope, they are parallel, therefore no solution
:
Here is procedure anyway, which will prove there is no solution:
Put both equations in the general, y=, form. Make a x/y table for both
:
2x - y = 4
-y = -2x + 4
y = 2x - 4: multiplied by -1, y had to be positive
:
x | y
-------
-2 |-8
0 |-4
+3 |+2
:
:
2x - y = 6
-y = -2x + 6
y = 2x - 6
:
x | y
--------
-1 | -8
0 | -6
+4 | +2
:
Plot these on the same graph, it should look like this:
:
parallel lines, no intersection, no solution
