Question

find the value of k if pair of linear equations 2x - 3y = 8 ,2x (k-4) - ky = k + 3​

Answer 1

Given: The correct question is  pair of linear equations 2x - 3y = 8 ,2x (k-4) - ky = k + 3​ is inconsistent.

To find: Value of k

Solution:

• Now we have given two equations:

                    2x - 3y = 8  and 2(k-4)x - ky = k + 3​

• Now we know that for inconsistent lines, the condition is:

                    a₁/a₂  = b₁/b₂  ≠  c₁ /c₂  

• Here the values are:

                    a₁ = 2, b₁ = -3, c₁ = 8

                    a₂ = 2(k - 4), b₂ = - k, c₂ = k + 3

• Now putting the values, we get:

                    2/2(k - 4) = -3/-k

                    k = 3k - 12

                    2k = 12

                    k = 6

Answer:

            So the value of k is 6.

Answer 2

Answer:

2x-3y=8 and 2(k-4)-ky=k+3