Question

on comparing the ratios a1/a2 b1/b2 and c1/c2 find out whether the pair of linear equations 2x -3y=8 and 4x-6y =9 are consistent or inconsistent​

Answer 1

The given linear equation are

⇒9x+3y+12=0....eq1

⇒a1 =9,b1 =3,c1 =12

⇒18x+6y+24...eq2

⇒a2 =18,b2 =6,c2 =24

⇒a1/a2 =9/18 =1/2

​⇒ b1/b2= 3/6 = 1/2

⇒ c1/c2= 12/24= 1/2

comparing

⇒ a1/a2,b1/b2,c1/c2

⇒ a1/a2=b1/b2=c1/c2

Hence, the line represented by eq1 and eq2 are coincidents

Explanation: