Check whether the pair of linear equations are consistent or inconsistent :
6x + 5y = 11,9x +15y = 21
Answers
The given system of equations can be written as
The given system of equations can be written as 6x + 5y – 11 = 0 ….(i)
The given system of equations can be written as 6x + 5y – 11 = 0 ….(i) ⇒9x + 15/2 y - 21 = 0 …(ii)
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
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
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
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,
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