Question

Find conditions on k that will make the following system of equations have a unique solution. 3kx+2y = 2
12x+2ky = 4

What is the unique soln of x and y?

Answer 1

answer is k=2 and x=1 and y=-2 but still I can't understand it, I just tested numbers, sorry for telling just the answer, but it may help find the way to find the solution
its interesting question

Answer 2

well, lets work on it together! haha my first inital thought would be to put it into a matrix. however, my only limitation would be that k in the matrix

Answer 3

in this instances, cramer's rule

Answer 4

i don't know how can we write K in the matrix

Answer 5

\[\left[\begin{matrix}3k &2 \\ 12 & 2k\end{matrix}\right] = \left[\begin{matrix}4 \\ 2\end{matrix}\right]\]

Answer 6

but yeah, i dunno how to go from there

Answer 7

i tried to solve it, and I probably can but it will be so complicated that my head is not ready to survive it :P ahahahha sorry

Answer 8

hahaha. it is all good. thanks tho. ill give u a medal for trying :)

Answer 9

thanks man :)

Answer 10

ill keep trying to solve it