Which of the following pairs of linear equations has unique solution, no solution or infinitely many solutions `3x – 5y = 20, 6x – 10y = 40`

Which of the following pairs of linear equations has unique solution, no solution or infinitely many solutions 2x + y = 5, 3x + 2y = 8

Which of the following pairs of linear equations has unique solution, no solution or infinitely many solutions. In case there is unique solution, find it by using cross-multiplication method x – 3y – 3 = 0, 3x – 9y – 2 = 0

Find the real values of K for which the following system of linear equations has no-trivial solution: x - ky - z = 0, kx - y - z = 0, x + y-z = 0

Find the real values of K for which the following system of linear equations has non-trival solutions: x-ky+z = 0, kx + 3y - kz = 0, 3x + y-z = 0

Using matrix method examine whether the following system of equations is consistent or inconsistent or has infinite number of solutions: 3x + 2y+ 3z = 2, 5x + 7y + 5z = 3 and 4x + 5y + 4z = 4

Which of the following differential equations has y = x as one of its particular solution?

Let A=[[1 ,2 ,3],[ 2, 0, 5],[ 0 ,2 ,1]] and B=[[0],[-3],[1]] . Which of the following is a true? a. A X=B has a unique solution b. A X=B has exactly three solutions c. A x=B has infinitely many solutions d. A X=B is inconsistent

In each of the following cases show that the given system of linear equations has infinite number of solutions: 2x - y + 3z = 5, 3x + 2y -z = 7, 4x + 5y - 5z = 9

Solve each pair of the following simultaneous linear equations by drawing graphs of these equations which have only one solution. Also find three sets of solutions of those pair of equations which have infinitely many solutions : 4x+3y=20, 8x+6y=40