Find the value of k, so that the following lines intersect at the same point:
$$3x + y - 2 = 0$$ $$kx + 2y - 3 = 0$$ $$2x - y + 3 = 0$$
How can I resolve this? thanks
I was able to find that $(-\frac15,\frac{13}5)$ is the intersection of the first and the third line.
Hint :
Solve the system of the first and third equation to find their intersection point. Then, do the same for the pair of the second and third equation oe the first and second. You will find an intersection point dependent on $k$. But you want thwt point to be the same as the first one you calculated. Thus?