Question

If x=5 and y=3 is the solution of 3x+ky=3,then find k

Answer 1

The answer for k= -4
3x+ky=3
3(5)+k(3)=3
15+3k=3
3k=3-15
3k=-12
k=-12/3
k=-4

Answer 2

Given,

x=5 and y=3 is the solution of 3x+ky=3.

To find,

Find the value of k.

Solution,

Since, x = 5 and y = 3 are the solution of equation  3x+ky=3,this means that x = 5 and y =3 would satisfy the equation.

Then,

⇒   3x + ky = 3.

⇒   3(5) + k(3) = 3

⇒   15 + 3k = 3

15 in Left Hand Side of the equation can be shifted to Right Hand Side of the equation and its sign would change from +15 to -15.

Therefore in the next step we would get,

⇒  3k = 3 - 15

⇒  3k = -12

⇒  k = -4

Hence, if x=5 and y=3 is the solution of equation 3x+ky=3, then the value of k is -4.