Question

the value of k for which the system of equations 2x+3y=5 and 4x+(k-1)y=10 has infinitely many solution​

Answer 1

Answer:

infinately many solution formula is a1/a2 = b1/b2 = c1/c2

2x+3y-5=0 eqn no 1

4x+ky-b=0 eqn no 2

a1=2, b1=3, c1=-5

a2= 4, b2=k, c2=-10

apply value for fomula 2/4=3/k=-5/-10

1/2= 3/k = 1/2

3/k =1/2

k=6

hence proved