Question

Check whether the following pair of linear equation are consistent or inconsistent
2x-3y=5,4x-6y=15​

Answer 1

Answer:

Step-by-step explanation:

Let a  

1

​

x+b  

1

​

y+c  

1

​

=3x+2y−5  and  a  

2

​

x+b  

2

​

y+c  

2

​

=2x−3y−7

So, here a  

1

​

=3; b  

1

​

=2; c  

1

​

=−5; a  

2

​

=2; b  

2

​

=−3; c  

2

​

=−7

⇒  

a  

2

​ a  

1

​

 =  

2

3

​

 

⇒  

b  

2

​

 

b  

1

​

 

​

=  

3

−2

​

 

⇒  

a  

2

​

 

a  

1

​

 

​

 



=  

b  

2

​

 

b  

1

​

 

​

 

Hence the system of equations has unique solution.

Thus the pair of equations are consistent