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 a_{1}x + b_{1}y + c_{1} = 0

and a_{2}x + b_{2}y + c_{2} = 0.

Comparing with above equations,

we have a_{1} = 9,

b_{1} = - 10,

c_{1} = - 21;

a_{2} = 3/2 ,

b_{2} = - 5/3

c_{2} = - 7/2

Since

The lines are coincident.

__The given equations have infinitely many solutions.__

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