(11)-2x+3y=6

In each of the following systems of equations determine whether the system has a unique solution, no solution or infinitely many solutions. In case there is a unique solution, find it. (1) 2x+3y=7 , 6x+5y=11 (2) 6x+5y=11 , 9x+(15)/2y=21 (3) -3x+4y=5 , 9/2x-6y+(15)/2=0

The equation of the plane whose intercepts on the axes are thrice of those made by the plane 2x-3y+6z-11=0 is (A) 6x-9y+18z-11=0 (B) 2x-3y+6z-33=0 (C) 2x-3y+6z+33=0 (D) none of these

The equation of the plane whose intercepts on the axes are thrice of those made by the plane 2x-3y+6z-11=0 is (A) 6x-9y+18z-11=0 (B) 2x-3y+6z-33=0 (C) 2x-3y+6z+33=0 (D) none of these

Find the greatest and least value of y= x^(3)-3x^(2) + 6x-2 on [-1,1] y is differentiable function of x and y'(x) = 3x^(2) -6x + 6= 3(x^(2) -2x+2) =3(x-1)^(2) gt 0 .

Simplify (11x + 3y)^(2) - (11x - 3y)^(2) .

The solutions of the equations x+2y+3z=14,3x+y+2z=11,2x+3y+z=11

Solve for x and y: 3x+2y=11 2x+3y=4

Solve for x and y: 3x + 2y = 11 , 2x + 3y = 4

Solve: x+y=11,2x-3y=7