Question

Determine the value of Lemda 2x+y-5=0 and 6x+3y+lemda=0 find the value of lemda for which there is no solution , many solution and unique solution​

Answer 1

2x+y-5=0
=>2x+y=5....eq 1

6x+3y+lembda=0
3(2x+y)+lem.=0
3(5)+lem=0...by eq 1
Lem= - 15

Answer 2

2x+y-5=0------eq (i)
a=2, b=1, c=-5

6x+3y+lemda=0--------en (ii)
d=6, e=3, f=lemda
therefore a/d=b/e=c/f
or, 2/6=1/3=-5/lemda
or,1/3=-5/lemda
or, lemda=-15. answer.