Question

For what value of k,2x+ky=6 has equal values of x and y for its solution?

Answer 1

Given,

x=y

Now,

2x + ky = 6

or,ky = 6 - 2x

or,ky = 6 - 2y [as x=y]

or, k = 6 - 2y / y

So,

As the value of k depends on value of y.There will be different values of k for the different values of y

Hope it helps..

Answer 2

Answer:

There will be different values of k for the different values of y.

Step-by-step explanation:

Given : $2x+ky=6$ has equal values of x and y for its solution.

To find : The value of k?

Solution :

According to question,

x=y

Substituting x=y in given equation.

$2x+ky=6$

$2y+ky=6$

$y(2+k)=6$

$2+k=\frac{6}{y}$

$k=\frac{6}{y}-2$

As the value of k depends on value of y.

There will be different values of k for the different values of y.

For example,

If y=1 then

$k=\frac{6}{1}-2$    

$k=6-2$

$k=4$

If y=2 then

$k=\frac{6}{2}-2$    

$k=3-2$

$k=1$