The solution of the system of equations `a_(1)x+b_(1)y+c_(1)z=d_(1),a_(2)x+b_(2)y+c_(2)z=d_(2)` and `a_(3)x+b_(3)y+c_(3)z=d_(3)` using Crammer's rule is `x=(Delta_(1))/(Delta),y=(Delta_(2))/(Delta)` and `z=(Delta_(3))/(Delta)` where `Delta!=0` The solution of
2x+y+z=1,x-2y-3z=1,3x+2y+4z=5 is

The solution of the system of equations a_(1)x+b_(1)y+c_(1)z=d_(1),a_(2)x+b_(2)y+c_(2)z=d_(2) and a_(3)x+b_(3)y+c_(3)z=d_(3) using Crammer's rule is x=(Delta_(1))/(Delta),y=(Delta_(2))/(Delta) and z=(Delta_(3))/(Delta) where Delta!=0 The solution of the system 2x+y+z=1 , x-2y-z=(3)/(2) , 3y-5z=9 is

The solution of the system of equations is x-y+2z=1,2y-3z=1 and 3x-2y+4y=2 is

Suppose the system of equations a_(1)x+b_(1)y+c_(1)z=d_(1) a_(2)x+b_(2)y+c_(2)z=d_(2) a_(3)x+b_(3)y+c_(3)z=d_(3) has a unique solution (x_(0),y_(0),z_(0)) . If x_(0) = 0 , then which one of the following is correct ?

x+y+z=1 x-2y+3z=2 5x-3y+z=3

Consider the system of equations a_(1) x + b_(1) y + c_(1) z = 0 a_(2) x + b_(2) y + c_(2) z = 0 a_(3) x + b_(3) y + c_(3) z = 0 If |(a_(1),b_(1),c_(1)),(a_(2),b_(2),c_(2)),(a_(3),b_(3),c_(3))| =0 , then the system has

Cosnsider the system of equation a_(1)x+b_(1)y+c_(1)z=0, a_(2)x+b_(2)y+c_(2)z=0, a_(3)x+b_(3)y+c_(3)z=0 if |{:(a_(1),b_(1),c_(1)),(a_(2),b_(2),c_(2)),(a_(3),b_(3),c_(3)):}|=0 , then the system has

Consider the system of linear equations a_(1)x+b_(1)y+ c_(1)z+d_(1)=0 , a_(2)x+b_(2)y+ c_(2)z+d_(2)= 0 , a_(3)x+b_(3)y +c_(3)z+d_(3)=0 , Let us denote by Delta (a,b,c) the determinant |{:(a_(1),b_(1),c_(1)),(a_(2),b_(2),c_(2)),(a_(3),b_(3),c_(3)):}| , if Delta (a,b,c) # 0, then the value of x in the unique solution of the above equations is

If the lines x=a_(1)y + b_(1), z=c_(1)y +d_(1) and x=a_(2)y +b_(2), z=c_(2)y + d_(2) are perpendicular, then

The number of solutions of the system of equations: 2x+y-z=7x-3y+2z=1, is x+4y-3z=53(b)2 (c) 1 (d) 0

Consider the system of linear equations , a_(1)x+b_(1)y+c_(1)z+d_(1)=0 , a_(2)x+b_(2)y+c_(2)z+d_(2)=0 , a_(3)x+b_(3)y+c_(3)2+d_(3)=0 Let us denote by Delta(a,b,c) the determinant |[a_(1),b_(1),c_(1)],[a_(2),b_(2),c_(2)],[a_(3),b_(2),c_(3)]| if Delta(a,b,c)!=0, then the value of x in the unique solution of the above equations is