Question

The pair of equation 3x - 9y = 15 , 2x - 6y = 10 has​

Answer 1

Answer:

The given pair of linear equations is

2x−6y+10=0

3x−9y+15=0

On comparing the given equations with standard form of pair of linear

equations i.e a

1

x+b

1

y+c

1

=0 and a

2

x+b

2

y+c

2

=0, we get

a

1

=2,b

1

=−6 and c

1

=10

and a

2

=3,b

2

=−9 and c

2

=15

$$\frac{a_1} {a_2} = \frac{2} {3} , \frac{b_1} {b_2} =

\frac{-6} {-9} = \frac{2} {3}and\frac{c_1} {c_2} = \frac{10} {15} = \frac{2} {3}$$

$$\therefore \frac{a_1} {a_2} = \frac{b_1} {b_2} = \frac{c_1}

{c_2}$$

∴ The lines representing the given pair of linear equations will coincide.

Answer 2

Step-by-step explanation:

The given pair of linear equations is

2x−6y+10=0

3x−9y+15=0

On comparing the given equations with standard form of pair of linear

equations i.e a

1

x+b

1

y+c

1

=0 and a

2

x+b

2

y+c

2

=0, we get

a

1

=2,b

1

=−6 and c

1

=10

and a

2

=3,b

2

=−9 and c

2

=15

∴ The lines representing the given pair of linear equations will coincide.