Hello,

I'm asked to solve the followingfor all variables ($\displaystyle x_1,x_2,x_3,x_4,x_5$)using Gauss-Jordan elimination:

$\displaystyle x_2 + 2x_4 + 3x_5 = 0$

$\displaystyle 4x_4 + 8x_5 = 0$

I know how to solve this using Gauss-Jordan, and I already did so, and found the solution to be:

$\displaystyle x_2 = x_5$

$\displaystyle x_4 = -2x_5$

or

$\displaystyle (x_2,x_4,x_5) = (t,-2t,t)$ for some $\displaystyle t$.

What I'm confused about is how to solve this for $\displaystyle x_1$ and $\displaystyle x_3$.They don't show up anywhere in the system of equations. How am I supposed to solve for them?

Thanks for your help,