What values of t make the homogenous system dependent?

[epkid08]

Homework Statement

Consider the homogenous system:
L_1 \rightarrow (4-t)x + y = 0
L_2 \rightarrow 2x + (3 -t)y = 0

Find two values of t that make the system dependent.
For each value of t, find a nonzero solution to the the system.

Homework Equations

The Attempt at a Solution

You can't use t = 4 or t = 3 because it will lead to a zero solution.
I have found one of the values is t = 2, but I can't seem to find another value for t that makes the system dependent.

 

[sylas]

I have found one of the values is t = 2, but I can't seem to find another value for t that makes the system dependent.

Try filling in step 2. What equation can you give which will define the propoerty of making the system dependent?