Question

State the conditionso that the equation ax+by+3=0 and 2x+5y+6=0 has infinitely many solution

Answer 1

To prove that the given equations has infinitely many solutions,it should satisfy the condition given below,

a1/a2 =b1/b2=c1/c2

where a is the coefficient of x

b is the coefficient of y

and c is the constant term

so

a/2 = b/5 = 3/6

a/2 = 3/6 ; b/5 = 3/6

a/2 = 1/2 =; b/5 =1/2

a=1 ; b= 5/2

Hope it helps you