`2x-y=1 ; 6x+3y=5`

4x-2y=3 6x-3y=5

Prove that the following lines are concurrent. (i)5x-3y=1 , 2x+3y=23 , 42x+21y=257 (ii) 2x+3y-4=0 , x-5y+7=0 , 6x-17y+24=0

The intercepts a, b of a stline on the co-ordinate axes are given by a + b=5, ab= 6 then the equation of line is 1. 2x-3y=6 2. 2x +3y -6 =0 3) 2x +3y +6 =04) 2x-3y +5=0

2x+3y=5 6x+9y=10

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

3x - y= 5, 6x - 2y = 10 .

For what vlaue of k given lines are intersecting. 2x + y = 5, 6x + 3y = 2k

Show that following system of linear equations is inconsistent: 2x+3y=5,\ \ 6x+9y=10

Show that following system of linear equations is inconsistent: 2x+3y=5,\ \ 6x+9y=10