Show that the system of equations - x + 2y + 2 = 0 and has a unique solution.

Given: - x + 2y + 2 = 0 and


To Prove: The system of given equations has a unique solution.


Proof:


We know that the general form for a pair of linear equations in 2 variables x and y is a1x + b1y + c1 = 0


and a2x + b2y + c2 = 0.


Comparing with above equations,


we have a1 = - 1,


b1 = 2,


c1 = 2;


a2 = 1/2 ,


b2 = - 1/2


c2 = - 1





Since


The lines are intersecting.


The system of given equations have a unique solution.


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