Question 905340
determine a and b for which the system of linear equation has infinite no. of solutions: (2a-1)x + 3y -5 =0
3x + (b-1)y -2=0

in the linear system of equations 
a1x+b1y=c1
a2x+b2y=c2

For the lines have infinite number of solutions {{{a1/a2= b1/b2=c1/c2}}}



here a1= (2a-1) ,b1=3, c1= 5
a2=3,b2=(b-1), c2=2


{{{(2a-1)/3 = 3/(b-1)=5/2}}}


{{{(2a-1)/3 =5/2}}}

2(2a-1)=15
4a-2=15
4a=17
a=17/4

3/(b-1) =5/2

6=5(b-1)

6=5b-5
5b=11
b=11/5