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?

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?

arbershabani97 · Answer

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

anonymous · Answer

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

anonymous · Answer

in this instances, cramer's rule

arbershabani97 · Answer

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

anonymous · Answer

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

anonymous · Answer

but yeah, i dunno how to go from there

arbershabani97 · Answer

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

anonymous · Answer

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

arbershabani97 · Answer

thanks man :)

anonymous · Answer

ill keep trying to solve it