Question 27856
{{{2x-4y=-1}}}
{{{x-2y=2}}}
Solve the second equation for x to get:
{{{x=2+2y}}}
Substitute it into the first equation:

{{{2x-4y=-1}}}
{{{2(2+2y)-4y=-1}}}
{{{4+4y-4y=-1}}}
{{{4<>-1}}}
Since 4 does not equal -1 there are no solutions. Meaning when you graph the equations you'll get two parallel lines.
If we put them in slope-intercept form...
{{{2x-4y=-1}}}Rearrange to get:
{{{-4y=-2x-1}}}
{{{y=x/2-1/4}}}
And...
{{{x-2y=2}}}
{{{-2y=-x+2}}}
{{{y=x/2-1}}}
So you have two lines with slope 1/2 one with an intercept -1/4 the other with an intercept of -1. Graphically:
{{{graph(200, 300, -4, 4, -4, 4,
-x/2-1,
-x/2-1/4)}}}