Home
Class 12
MATHS
If the system of linear equations x1+2x2...

If the system of linear equations `x_1+2x_2+3x_3=6,\ x_1+3x_2+5x_3=9,\ 2x_2+5x_2+a x_3=b` is consistent and has infinite number of solutions, then- `a in R-{8}a n d\ b in R-{15}` `a=8,\ b` can be any real number `a=8,\ b=15` `b=15 ,\ a` can be any real number

Promotional Banner

Similar Questions

Explore conceptually related problems

If the system of linear equations x_(1)+2x_(2)+3x_(3)=6, x_(1)+3x_(2)+5x_(3)=9, 2x_(1)+5x_(2) +ax_(3)=b is consistent and has infinite number of solutions, then

If the system of linear equations x_(1)+2x_(2)+3x_(3)=6,x_(1)+3x_(2)+5x_(3)=9,2x_(1)+5x_(2)+ax_(3)=b, is consistent and has infinite number of solutions,then :-

Show that the following systems of linear equations has infinite number of solutions and solve x+2y=5,\ \ 3x+6y=15

Show that the following systems of linear equations has infinite number of solutions and solve x+2y=5,\ \ 3x+6y=15

Determine conditions on a, b and c so that x_(1)+2x_(2)+3x_(3)=a 4x_(1)+5x_(2)+6x_(3)=b 7x_(1)+8x_(2)+9x_(3)=c will have no solutions or have an infinite number of solution.

Show that the system of equations. " " 2 x - 3y = 5, 6x - 9y = 15 . has an infinite number of solutions.

Find the value of a and b for which the given system of linear equation has infinite number of solutions 3x-(a +1 ) y = 2 b -1 , 5x + ( 1-2a ) y = 3b

The number of real solutions of |2x-x^2-3|=1 is (a) 0 (b) 2 (c) 3 (d) 4

If the system of linear equations x+ay+z=3 and x+2y+2z=6 and x+5y+3z=b has no solution, then (a) a=-1,b=9 (2) a=-1,b != 9 (3) a != -1 , b =9 (4) a=1,b != 9