Q. 75.0( 3 Votes )

Show that the equations 9x - 10y = 21, have infinitely many solutions.

Answer :

Given: 9x - 10y = 21,



To Prove: The given equations have infinitely many solutions.


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 = 9,


b1 = - 10,


c1 = - 21;


a2 = 3/2 ,


b2 = - 5/3


c2 = - 7/2





Since


The lines are coincident.


The given equations have infinitely many solutions.


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