find value of K if (x-1) is factor of Kx^2-3x+k.

 solution:-let f(x) = Kx^2-3x+k and g(x)==x-1

                given that g(x) is factor of f(x).

            so,  g(x) = 0

                x-1= 0

                x=1

      at x=1

             ⇒f(1)=0(why)

             ⇒K1^2-3x1+k=0

          ⇒  k-3+K=0

           ⇒ 2xk=3

          ⇒ k=3/2

          

find value of k if x=2 y=1 is a solution of the equation 2x+3y=k

solution:- Given Equation 

2x+3y=k

and its solution 

 x=2 y=1

so its solution is satisfied the given Equation 

now,

⇒ 2х2+3х1=k

⇒ 4+3=k

⇒ 7=k

   k=7