Question

If the solution set of the equations px+ 3y = p – 3 and 12x + py= p is an infinite set

then​

Answer 1

Answer:

ANSWER

Given equation are

(p−3)x+3y=p

px+py=12

The pair of linear equation has infinitely many solutions.

a  

2

​  

 

a  

1

​  

 

​  

=  

b  

2

​  

 

b  

1

​  

 

​  

=  

c  

2

​  

 

c  

1

​  

 

​  

 

p

p−3

​  

=  

p

3

​  

=  

12

p

​  

 

a  

2

​  

 

a  

1

​  

 

​  

=  

c  

2

​  

 

c  

1

​  

 

​  

 

p

p−3

​  

=  

12

p

​  

 

(p−3)12=p  

2

 

12p−36=p  

2

 

p  

2

−12p−36=0

p  

2

−6p−6p−36=0

p(p−6)−6(p−6)=0

p−6=0

∴p=6.

Step-by-step explanation: