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

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.

Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Related Videos  Dealing With the Real Life Problems53 mins  Quiz | Real Life Problems Through Linear Equations56 mins  Quiz | Solution of Linear Equations53 mins  Champ Quiz | Consistency and Inconsistency of Solutions36 mins  Pair of Linear Equations in Two Variables46 mins  Consistent and Inconsistent Equations33 mins  Elimination (quicker than quickest)44 mins  Master Substitution Method46 mins  Real Life Problems Through Linear Equations41 mins  All Kinds of Word Problems in Linear Equations42 mins
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation view all courses 