Home
Class 12
MATHS
Find the value of K for which the system...

Find the value of K for which the system 2x+3y-7 =0 and (K-1)x+(K+2)y-3K=0 has infinite solution.

Text Solution

Verified by Experts

`2x+3y - 7 = 0->(1)`
`(K-1)x+(K+2)-3K = 0`
For, these two equations to have infinite solutions,
`(K-1)/2 = (K+2)/3 = (-3K)/-7`
`=>(K-1)/2 = (K+2)/3`
`=>3K-3 = 2K+4`
`=> K = 7`
Now, `(K-1)/2 = (-3K)/-7`
...
Promotional Banner

Similar Questions

Explore conceptually related problems

The value of 'k' so that the system of equations 3x-y-5 =0 and 6x-2y-k=0 has infinite solutions

Write the value of k for which the system of equations x+y-4=0 and 2x+k y-3=0 has no solution

Find the value of k for which the system of equations 2x + 3y=7 and 8x + (k +4)y -28 =0 has infinitely many solution.

Write the value of k for which the system of equations 3x-2y=0 and kx+5y=0 has infinitely many solutions.

Write the value of k for which the system of equations 3x-2y=0 and k x+5y=0 has infinitely many solutions.

Find the values of k for which the system 2x+k y=1 3x-5y=7 will have (i) a unique solution, and (ii) no solution. Is there is a value of k for which the system has infinitely many solutions?

Find the value of k for which the system of equation (k-1)x-y=5,(k+1)x+(1-k)y=(3k+1) has infinite no of solution

Find the values(s) of k for which the system of equations kx-y=26x-2y=3 has ( i )a unique solution (ii) no solution.Is there a value of k for which the system has infinitely many solutions?

The values of k for which the system ( k +1) x + 8y = 0 kx + ( k +3) y =0 has unique solution, are