Question

Write the number of solutions of the following pair of linear equations

x+2y=8, 2x+4y=16​

Answer 1

Answer:

No its wrong it's not true the solution is this I wrote below see

Step-by-step explanation:

X + 2y= 3xy

2x+4y= 6xy

Answer 2

Answer:

So, system has infinitely many solutions.

Step-by-step explanation:

x+2y=8

And 2x+4y=16

These given equations are in the form:

a  

1

​

x+b  

1

​

y+c  

1

​

=0 and  

a  

2

​

x+b  

2

​

y+c  

2

​

=0

Where

a  

1

​

=1,b  

1

​

=2 and c  

1

​

=8  

a  

2

​

=2,b  

2

​

=4 and c  

2

​

=16

a  

2

​

 

a  

1

​

 

​

=  

2

1

​

,  

b  

2

​

 

b  

1

​

 

​

=  

4

2

​

=  

2

1

​

 

As we know, the condition for the equations to have infinitely many solutions is

a  

2

​

 

a  

1

​

 

​

=  

b  

2

​

 

b  

1

​

 

​

=  

c  

2

​

 

c  

1

​

 

​

 

So, system has infinitely many solutions.