# Express as a linear combination

1. Homework Statement
The vectors v1= [1, -3], v2= [2, -8], v3= [ -3, 7] span R2 but do not form a basis. Find 2 different ways to express [1, 1] as a linear combination of v1, v2, v3.

3. The Attempt at a Solution

Since it states that the set is not a basis, then v3=v1+v2. I solved the system v1+v2=[1,1] and got 5v1-2v2=[1,1]. The second answer the book gives is 10v1-3v2+v3. How did they get the second answer?