Question 562098
17=11y+12x
12x+11y=14

This can be rewritten as:

11y+12x=17
11y+12x=14

Just from looking at this, we can see that these lines are parallel. Lets see the equations in slope intercept form

11y+12x=17
11y=-12x+17
y=-(12/11)x+17/11

11y+12x=14
11y=-12x+14
y=-(12/11)x+14/11

We can see that both equations have a slope of -12/11 which makes them parallel
as we can see here:
{{{ graph( 300, 300, -2, 2, -2, 2, -(12/11)x+17/11, -(12/11)x+14/11) }}}