Question 479795
  <pre><font face = "Tohoma" size = 4 color = "indigo"><b> 
Hi,
-2x + 6y = -12 
  x + 3y = -3

-2x + 6y = -12 
 2x + 6y = -6
    12y = -18
     y = -18/12 
     y = -3/2  and x = 3/2   (x = -3*-3/2 -3 = 3/2
|Yes! Ordered pair Pt(1.5,-1.5)is the solution for this INDEPENDENT system:See below
Lines intersect at Pt(-2,-4)
{{{drawing(300,300,   -6, 6, -6, 6,   grid(1),
circle(1.5, -1.5,0.3),
graph( 300, 300, -6, 6, -6, 6,0,(1/3)x-2, (-1/3)x-1))}}}

A <i>consistent</i> system has at least one solution.
An <i>inconsistent</i> system has no solutions.
An <i>independent</i> system has exactly one solution. ***
A <i>dependent</i> system has infinitely many solutions.