Chapter 8.1, Problem 10E

Suppose that the solutions of an equation Ax = b are all of the form x = x₃u + p, where $u=\left[\begin{array}{c}5\\ 1\\ -2\end{array}\right]$ and $p=\left[\begin{array}{c}1\\ -3\\ 4\end{array}\right]$. Find points v₁ and v₂ such that the solution set of Ax = b is aff{v₁,v₂}.