Question

If the system of the equation 2x+3y=5,4x+ky =10 has infinitely many solution then

Answer 1

Answer:

k=6

Step-by-step explanation:

if infinitely many solutions then

$a1/a2=b1/b2=c1/c2$

from equaton 1 and 2

a1/a2=2/4 =1/2

b1/b2=3/k

c1/c2= -5/-10 =1/2

according to the formula...

1/2=3/k=1/2

substitute k=6 and after simplfication

we get 1/2 then a1/a2=b1/b2=c1/c2

the value of k=6

hope it is helpful...

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