Question

Find the value of k if the point (4,3) is a solution of the equation 3x-ky=k+2. Check whether (-2,-6) lies on the same line.

Answer 1

the point (4,3) is solution
so,
x=4 & y=3

putting these in equation,

3x-ky+2=k+2

3×4-k×3=k+2

12-3k=k+2

12-2=k+3k

10=4k

10/4=k

5/2=k

now the point (-2,-6)
where,x=-2 & y=-6
putting them in equation,

3x-5/2y=5/2+2

(6x-5y)/2=(5+4)/2

6x-5y=9

now taking LHS,

6×(-2)-5×(-6)

-12+30

18....

since,LHS≠RHS

so, these points (-2,-6) will not lie on the same line!!