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January 16th, 2008, 03:41 PM  #1 
Newbie Joined: Jan 2008 Posts: 1 Thanks: 0  Linear Equations
show that if the linear equations: x_1 + Kx_2 = c and x_1 + Ix_2 = d have the same solution set, then the equations are identical. How can I prove this? 
January 17th, 2008, 06:42 PM  #2 
Global Moderator Joined: Dec 2006 Posts: 20,101 Thanks: 1905 
When x_2 = 0, x_1 must be c according to the first equation, but d according to the second. Hence c = d. Is that sufficient help? 

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