For what value of `p`, is the system of equation `p^3x+(p+1)^3y=(p+2)^3 `and `px+(p+1)y=(p+2)` and `x+y=1` inconsistent

For what value of p the pair of linear equations (p + 2)x – (2p + 1)y = 3(2p – 1) and 2x – 3y = 7 has a unique solution.

For what value of p, the following system of linear equation has no solution. px+3y=p-2, 12x+py=p

For what value of p will the following system of equations have no solution ? (2p-1)x+(p-1)y=2p+1, y+3x-1=0 .

For what value of p,y = x + p touches the ellipse 2x ^2 + 3y ^2 = 1 ?

If the system of equations x+2y-3z=1,(P+2)z=3,(2P+1)y+z=2 is inconsistent then the value of P is

For what value of p, the following system of linear equation has infintely many solution. 2x+3y=7, (p+1)x+(2p-1)y=4p+1

For what value of p, the following system of linear equation has infintely many solution. (p-1)x-y=5, (p+1)x+(1-p)y=3p+1

For what value of p, the following system of linear equation has infintely many solution. 2x+3y=2, (p+2)x+(2p+1)y=2(p-1)

The value of p for the following pair of linear equations ( p - 3)x + 3y = p , px + py =12 have infinitely many solutions is ………