Question 479792
  <pre><font face = "Tohoma" size = 4 color = "indigo"><b> 
Hi,
-8x – 4y = -68 
  x + 3y = 16
 
-8x – 4y = -68 
 8x + 24y = 128  |Multiplying 2nd EQ thru by 8 to eliminate x
      20y = 60
        y = 3  and x = 7  (x = -3*3 + 16)
Ordered pair Pt(7,3)is the solution for this INDEPENDENT system:See below
Lines intersect at Pt(7,3)
{{{drawing(300,300,   -10,10,-10,10,     grid(1),
circle(7,3,0.3),
graph( 300, 300,  -10,10,-10,10,  0,-2x+17,(-1/3)x + 16/3))}}}

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.