Question 619449
  <pre><font face = "Tohoma" size = 3 color = "indigo"><b> 
Hi,
x=7y+24
 x=(7/4)y 
My work:
 (7/4)y = 7y+24
 multiply each side by 4 
7y=28y+96
 divide by 7 
y= 4y+(96/7)
 move the Y and 96/7 to the other side
Yes!  -(96/7) = 3y   and y = -32/7  and x = (7/4)(-32/7) = -8
(-8, -32/7) Independent system, one solution
CHECKING our Answer***
 -8 = 7(-32/7) + 24 = -8
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. ****
An<i>dependent</i> system has infinitely many solutions.