Question

Find the value of a and b for which the following system of equation has infinitely many solutions:
x + 2y = 1
(a-b)x + (a+b)y = a+b-2

Answer 1

Step-by-step explanation:

for infinitely many solutions

a1/a2=b1/b2=c1/c2

1/(a-b)=2/(a+b)=1/a+b-2

2 (a-b)=a+b 1/(a-b)=1/(a+b-2)

2a-2b=a+b a-b=a+b-2

a=3b 2b=2

b=1

a=3