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

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

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

Show that the system of equations 3x-y + 4z = 3, x + 2y-3z =-2 and 6x + 5y + lambdaz=-3 has at least one solution for any real number lambda. Find the set of solutions of lambda =-5

Show that the system of equations 3x-y + 4z = 3, x + 2y-3z =-2 and 6x + 5y + lambdaz=-3 has at least one solution for any real number lambda. Find the set of solutions of lambda =-5

Show that the system of equations 3x-y + 4z = 3, x + 2y-3z =-2 and 6x + 5y + lambdaz=-3 has at least one solution for any real number lambda. Find the set of solutions of lambda =-5

Show that the system of equations is inconsistent. 2x+5y=7,6x+15y=13.

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

Show that the system of equations 4 x + 6y = 7, 12 x + 18 y = 21 has infinitely many solutions.

Show graphically that the system of equations 2x + 4y = 10 and 3x + 6y = 12 has no solution.