Question

Show that the system of equations

6x + 5y = 11,

9x + 15/2y = 21

has no solution

Answer 1

The given system of equations can be written as 

6x + 5y – 11 = 0 ….(i) 

⇒9x + 15/2 y - 21 = 0 …(ii) 

This system is of the form 

a1x+b1y+c1 = 0 a2x+b2y+c2 = 0 

Here, a1 = 6, b1= 5, c1 = -11 and a2 = 9, b2 = 15/2 , c2 = -21 

Now, 

Thus,  therefore the given system has no solution