show that equations have no solution :
`{:(3x - 5y = 20),(6x - 10y = - 40):}`

{:(3x - y = 5),(6x - 2y = 10):}

Solve: {:(2x + y = 2),(6x - 3y = 20):}

Do the following pair of linear equations have no solution ? Justify your answer. (i) 2x + 4y = 3 and 12y +6x = 6 (ii) x = 2y and y = 2x (iii) 3x + y - 3 = 0 and 2x + (2)/(3)y = 2

Show graphically that following system of equations is in-consistent (i.e. has no solution): 3x-5y=20 ;\ \ \ 6x-10 y=-40

Find the value of k for which the following system of equation has no solution : k x-5y=2 , 6x+2y=7

Show that the following system of equations have unique solution : {:((i),7x-2y=3,(ii),3x+y=17,(iii),2x+5y=17,),(,22x-3y=16,,8x+11y = 37,,5x+3y=14,):} and also solve the system of equations in each case.

Show that the homogenous system of equations x - 2y + z = 0, x + y - z = 0, 3 x + 6y - 5z = 0 has a non-trivial solution. Also find the solution

Find the value of k for which following system of equations have infinitely many solution: 2x+3y-5=0,\ \ \ \ 6x+k y-15=0

Find whether the following system of equation has a solution or not ? x+5y=10 2x+10y=9

In the following system of equations determine whether it has unique solution, no solution or infinitely many solutions. In case there is a unique solution, find it: 3x-5y=20 ,\ \ \ 6x-10 y=40