My question is about: Find the conditions onto $b_1, b_2$, and $b_3$ such that the following system is consistent:
$2x_1 - 2x_2 = b_1$
$3x_1 + 3x_2 = b_2$
$4x_1 - 4x_2 = b_3$
Provide a geometrical interpretation of the result.
I already found the condition is $b_3 = 2b_1$ but I don't know how to provide a geometrical interpretation of this result.