Question

Determine k for which the system of equations has infinite solutions:
4x+y= 3 and 8x+ 2y= 5k

Answer 1

6/5
.. ......................

Answer 2

Answer:

Step-by-step explanation:

4x+y-3=0

8x+2y-5k=0

a1=4,b1=1,c1=-3.

a2=8,b2=2,c2=-5k.

As the given pair of equation has infinetly many solutions then,

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

a1/a2=4/8=1/2.

b1/b2=1/2.

c1/c2=-3/-5k=3/5k.

After comparing the ratio :

1/2=3/5k.

5k=6.

k=6/5.

Hope it helps u.