Question

the following pair of linear equations has infinity many solution x-4y-9=0,2x-ay-27=0.

Answer 1

1. x-4y-9=0

if y=0,
x-4(0)-9=0
x-0-9=0
x=9
if x=1,

1-4(y)-9=0
1-4y-9=0
1-4y=9
4y=8
y=9/4
y=2

2. 2x-ay-27 =0

x=0,

2(0)-ay-27=0
0-ay-27=0
ay=27-----1

y=0'

2(x)-a(0)-27=0
2x-0-27=o
2x=27
x=27/2-----2

we need to find a

apply eq 1and 2

x=27/2,y=1

2 (27/2)-a(1)=0
27-a=0
a=-27

 they have many solutions I only give this