Home
Class 10
MATHS
Show that the system of equations ...

Show that the system of equations
` 2x + 5y = 17, 5x + 3y = 14`
has a unique solution. Find the solution.

Text Solution

AI Generated Solution

To show that the system of equations has a unique solution and to find that solution, we can follow these steps: ### Step 1: Identify the equations We have the following system of equations: 1. \( 2x + 5y = 17 \) (Equation 1) 2. \( 5x + 3y = 14 \) (Equation 2) ### Step 2: Determine the coefficients ...
Promotional Banner

Topper's Solved these Questions

  • LINEAR EQUATIONS IN TWO VARIABLES

    RS AGGARWAL|Exercise Exercise 3A|29 Videos

  • LINEAR EQUATIONS IN TWO VARIABLES

    RS AGGARWAL|Exercise Exercise 3B|50 Videos

  • HEIGHTS AND DISTANCES

    RS AGGARWAL|Exercise Multiple Choice Questions (Mcq)|25 Videos

  • MEAN,MEDAN,MODE OF GROUPED,DATA CUMULATIVE FREQUENCY GRAPH AND OGIVE

    RS AGGARWAL|Exercise Test Yourself|18 Videos

Similar Questions

Explore conceptually related problems

Show that the system of equations " " 6x + 5y = 11, 9x + ( 15) /(2) y = 21 . has no solution

Show that the system of equations - x + 2y + 2 = 0 and (1)/(2) x - (1)/(2) y - 1 = 0 has a unique solution.

Show that the system of equations 3x - 5y = 7, 6x - 10 y = 3 . has no solution.

Show that the system of equations. " " 2 x - 3y = 5, 6x - 9y = 15 . has an infinite number of solutions.

If the system of equations 6x + 2y = 3 and kx + y = 2 has a unique solution, find the value of k .

For what value of k, the system of equations 3x - 2y = 5 and 6x - ky = 8 has no unique solution?

Find the valus of k for which the system of equations x - 2y = 3, 3 x + k y = 1 has a unique solution.

For what value of k does the system of equations " " x + 2y = 3, 5x + ky + 7 = 0 have (i) a unique solution, (ii) no solution ? Also, show that there is no value of k for which the given system equations has infinitely many solutions.

If the system of linear equations px + 3y = 9 and 4x + py = 8 has unique solution, then