Question

whether this pair of linear equations is consistent. find x-2y=6 3x-6y=0

Answer 1

First, we convert both equations into standard form.

Which is,

eq. (i) :-

x-2y-6=0

and eq. (ii) :-

3x-6y+0=0

now we compare the coeffecients.

a1/a2= 1/3

b1/b2=1/3

c1/c2=-6/0 which is not defined.

This shows that,

a1/a2= b1/b2 ≠ c1/c2

Which is an inconsistent equation

Answer 2

Answer:

Step-by-step explanation:

First, we convert both equations into standard form.

Which is,

eq. (i) :-

x-2y-6=0

and eq. (ii) :-

3x-6y+0=0

now we compare the coeffecients.

a1/a2= 1/3

b1/b2=1/3

c1/c2=-6/0 which is not defined.

This shows that,

a1/a2= b1/b2 ≠ c1/c2

Which is an inconsistent equation