Question 126269
If you first re-arrange the equations to slope-intercept form {{{y=mx+b}}} by solving for y, you get


{{{y=2x-4}}} and {{{y=2x-6}}}.  Notice that the slopes, given by the coefficient on x are equal.  That means that the lines are parallel.  The fact that the y-intercepts are not equal further tells you that these are not the same line.  So you have a system with no elements in the solution set.


The graph supports this notion because you can see that the two lines are different lines and will never intersect.


{{{graph(400,400,-6,6,-6,6,2x-4,2x-6)}}}