Determine the values of a and b for whi...

Determine the values of a and b for which the following system of linear equations has infinite solutions: `2x-(a-4)y=2b+1` and `4x-(a-1)y=5b-1`

Verified by Experts

Given,
`2x−(a−4)y=2b+1`
`4x−(a−1)y=5b−1`
comparing with `a_1x+b_1x+c_1=0` and `a_2x+b_2x+c_2=0` `a_1=2`
`b_1=−(−a−4)`
and `c_1=2b+1`
...

Similar Questions

Explore conceptually related problems

Find the values of a and b for which the following system of linear equations has infinite number of solutions: 2x-3y=7,quad (a+b)x-(a+b-3)y=4a+b

Find the value of k for which the following system of linear equation has infinite solutions :x+(k+1)y=5 and (k+1)x+9y=8k-1

Find the values of a and b for which the following system of equations has infinitely many solutions: 2x-(2a+5)y=5,quad (2b+1)x-9y=15

Find the value of k for which the following system of linear equations has infinite solutions: x+(k+1)y=5,quad (k+1)x+9y=8k-1

Find the values of a and b for which the following system of equations has infinitely many solutions : 2x+3y =7 2ax +ay = 28 - by

Determine the values of a and b so that the following system of linear equations have infinitely many solutions: (2a-1)x+3y-5=0,quad 3x+(b-1)y-2=0

Find the values of a and b for which the following system of equations has infinitely many solutions: (a-1)x+3y=2,quad 6x+(1-2b)y=6

Find the values of a and b for which the following system of equations has infinitely many solutions: 2x+3y=7,quad (a-1)x+(a+2)y=3a

Find the value of p and q for which the following system of linear equations has infinite number of solutions: 2x+3y=1,(p+q)x+(2p-q)y=21 .

Find the values of a and b for which the following system of equations has infinitely many solutions: 3x+4y=12,quad (a+b)x+2(a-b)y=5a-1