Question

If (3,-2) is a solution of the equation 2x − ky = 14 ,find the value of k

Answer 1

Answer:

kindly check the attachment

Answer 2

Step-by-step explanation:

Given :-

(3,-2) is a solution of the equation 2x − ky = 14

To find :-

Find the value of k ?

Solution :-

Given equation is 2x − ky = 14 --------(1)

Given solution = (3,-2)

We know that

(3,-2) is a solution of an equation then it satisfies the given equation.

Put x = 3 and y = -2 in (1) then

=> 2(3) - k(-2) = 14

=> 6 - (-2k) = 14

=> 6 + 2k = 14

=> 2k = 14-6

=> 2k = 8

=> k = 8/2

=> k = 4

Therefore, k = 4

Answer:-

The value of k for the given problem is 4

Check:-

If k = 4 then equation is 2x-4y = 14

If (3,-2) is a solution then LHS

=> 2(3)-4(-2)

=> 6-(-8)

=> 6+8

=> 14

=> RHS

=> LHS = RHS is true for k = 4