Question

Find the value of a and b for which the following system has infinetely many solution 3x+4y=12 and (a+b)x-2(a-b)y=5a-1

Answer 1

system has infinetely many solution so

(b+a)/2(a-b)=-3/4
4a+4b=6b-6a
10a=2b
b=5a
3=-(5a-1)/2(a-b)
6a-6b=-5a+1
11a=6b+1
11a=30a+1
a=-1/19
b=-5/19