Find the value of `a` for which the following system of equations has infinitely many solutions: `2x+3y=7,\ \ \ \ (a-1)x+(a+2)y=3a`

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

Find the values of a and b for which the following system of equations has infinitely many solutions: 2x+3y-7=0,\ \ \ \ (a-1)x+(a+1)y=(3a-1)

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

Find the value of k for which following system of equations have infinitely many solution: 2x+3y=k ,\ \ \ \ (k-1)x+(k+2)y=3k

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

Find the value of k for which following system of equations have infinitely many solution: 2x+3y-5=0,\ \ \ \ 6x+k y-15=0

Find the values of a and b for which the following system of equations has infinitely many solutions: 2x+3y-7=0,quad (a-1)x+(a+1)y=(3a-1)

Find the value of k for which following system of equations have infinitely many solution: 2x-3y=7,\ \ \ \ (k+2)x-(2k+1)y=3(2k-1)

Find the value of k for which following system of equations have infinitely many solution: 2x+3y=7,\ \ \ \ (k+1)x+(2k-1)y=4k+1