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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