Question

If the system of equation 4x+5y=9, 8x+ky=18 has infinitely many solutions then k=​

Answer 1

Given the system has infinitely many solutions

then , a1/a2 = b1/b2 = c1/c2

given equations , 4x + 5y = 9 ; 8x + ky = 18

here a1 = 4 , a2 = 8 ; b1 = 5 , b2 = k ; c1 = 9 , c2=18

according to the question ,

=> 4/8 = 5/k = 9/18

=> 1/2 = 5/k = 1/2

=> 1/2 = 5/k

=> k = 10