Q. 174.0( 3 Votes )

# Find k for which the system kx – y = 2 and 6x – 2y = 3 has a unique solution.

Answer :

The given two equations are:

kx – y – 2 = 0 …(i)

6x – 2y – 3 = 0 …(ii)

Here, we have:

a_{1} = k, b_{1} = – 1 and c_{1} = – 2

a_{2} = 6, b_{2} = – 2 and c_{2} = – 3

We know that, for the system having a unique solution we must have

∴

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 | Solution of Linear Equations53 mins

Quiz | Real Life Problems Through Linear Equations56 mins

Champ Quiz | Consistency and Inconsistency of Solutions36 mins

Pair of Linear Equations in Two Variables46 mins

Dealing with the Real Life Problems54 mins

Elimination (quicker than quickest)44 mins

Consistent and Inconsistent Equations33 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 Expertsview all courses

Dedicated counsellor for each student

24X7 Doubt Resolution

Daily Report Card

Detailed Performance Evaluation

RELATED QUESTIONS :

Find the value of k for which each of the following systems of equations has no solution:

kx + 3y = k - 3,12x + ky = k.

RS Aggarwal - MathematicsFind the value of k for which each of the following systems of equations has no solution:

kx + 3y = 3,12x + ky = 6.

RS Aggarwal - MathematicsFind the value of a for which the following system of equations has unique solution:

4x + py + 8 = 0, 2x + 2y + 2 = 0

KC Sinha - MathematicsA man purchased 47 stamps of 20 p and 25 p for Z 10. Find the number of each type of stamps.

RS Aggarwal - Mathematics