Question 618997
  <pre><font face = "Tohoma" size = 3 color = "indigo"><b> 
Hi,
Note
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 dependent</i> system has infinitely many solutions.
find K for inconsistent system of equation
4x + 6y = 11
<u>2x + Ky = 7</u>  K = 3

4x + 6y = 11
<u>2x + 3y = 7</u>  |multiplying thru by -2 to  eliminate the x variable
4x + 6y = 11
<u>-4x +-6y = -14</u>  |multiplying thru by -2 to  eliminate the x variable
   0 &#8800; -4  NO solutions