`3x+2y=14; x+4y=7`

3x-y=7; 2x+4y=0

Find the value of 27 x^3+\ 8y^3, if (i) 3x+2y=14 and x y=8 (ii) 3x+2y=20\ and x y=(14)/9

The system of equations x+y+z=6, x+2y+3z=14, x+4y=7z=30 has

Solve for x and y - 2x+3y=5 3x+4y=7

Solve 3x + 2y = 14 and - x + 4y = 7 and hence find the value of k for which 3x = 2ky + 6.

Solve the following system of equations by matrix method : 5x+7y+2=0 4x+6y+3=0 5x+2y=3 3x+2y=5 3x+4y-5=0 x-y+3=0 3x+y=19 3x-y=23 3x+7y=4 x+2y=-1 3x+y=7 5x+3y=12

Show that each of the following systems of linear equations is consistent and also find their solutions: 6x+4y=2 9x+6y=3 2x+3y=5 6x+9y=15 5x+3y+7z=4 3x+26 y+2z=9 7x+2y+10 z=5 x-y+z=3 2x+y-z=2 -x-2y+2z=1 x+y+z=6 x+2y+3z=14 x+4y+7z=30 2x+2y-2z=1 4x+4y-z=2 6x+6y+2z=3

The area of the parallelogram formed by the lines 3x+4y=7a;3x+4y=7b;4x+3y-7c and 4x+3y=7d is-

Show that the equations: x+y+z=6,x+2y+3z=14,x+4y+7z=30 are consistent and solve them.