Question

Check whether the equations.
x + 3y = 6, 2x - 3y = 12 are parallel or not.​

Answer 1

The given pair can be written as

x+3y−6=0and2x−3y−12

Herea

1

=1,b1=3,c

1

=−6...........eq1anda

2

=2,b

2

=−3,c

2

=−12.........eq2

∴

a

2

a

1

=

2

1

,

b

2

b

1

=

−6

3

=

−2

1

Hence

a

2

a

1



=

b

2

b

1

Thus the given pair of equation is consistent.

To solve them graphically we have

Table of eq1

x 0 3 6

y 2 1 0

Table of eq2

x 0 3 6

y -4 -2 0

Thus the given pair of linear equation has unique solution x=6 and y=0.

solution

Answer 2

Answer:

here

x/x1 is not equal to y/y1

therefore line is not parallel

it is intersecting

and have unique solution

if you agree plz like n follow