Question

Determine the values of a and b so that the following
equations have infinite number of solutions.
2x − (a − 4)y = 2b + 1
4x − (a − 1)y = 5b − 1

Answer 1

Step-by-step explanation:

The given equations are:

=2x-(a-4)y=2b+1

 4x-(a-1)y=5b-1

=>therefore, a₁=2,a₂=4,b₁= -(a-4), b₂= -(a-1), c₁=2b+1, c₂=5b-1

=>Since, it is given that the system of linear equations have infinite many solutions, therefore

=>a₁/a₂ = b₁/b₂ = c₁/c₂

=> 2/4 = -(a-4)/ -(a-1) = 2b+1 / 5b-1

=> a-4 / a-1 =2/4 , 2b+1 / 5b-1 = 2/4

=>2a-8=a-1 , 4b+2=5b-1

=>a=7, b=3

       hope it helps mark as brilliant plz.