# Linear Algebra Question

1. Sep 18, 2009

### epkid08

1. The problem statement, all variables and given/known data
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.

2. Relevant equations

3. 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.

2. Sep 18, 2009

### sylas

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