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

Answer :

K=1 As x and y to be equal so equation is 2x+kx=6 Putting k=1 2x+x=6 3x=6 x=2 Y=2 K=1 K can have value[1,2..........n] Where n is infinity
mysticd

Answer:

For all real values of k , except k≠-2, given equation has equal values of x and y

Step-by-step explanation:

Given , Linear equation in two variables: 2x+ky=6 and has equal values of x and y.

Put x = y in the equation, we get

=> 2y+ky=6

=> y(2+k)=6

[tex]\implies y = \frac{6}{(2+k)}[/tex]

Therefore,

For all real values of k , except k≠-2, given equation has equal values of x and y

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