system

The equation system has no solution.

But if it were called that, there would be a solution.

Solve the linear system of equations

x - 2y + 3z = 2

2x - 3y + 8z = 7

3x - 4y + 13z = 8

please show steps!

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Equation method

I    $x - 2y + 3z = 2\ |\ Change\ of\ sign\ when\ changing\ page\\ x=2+2y-3z$     

II    $2x - 3y + 8z = 7\ |\ Change\ of\ sign\ when\ changing\ page\\ 2x=7+3y-8z\ |\ divided\ on\ both\ sides\ by\ 2$  

     $x=3.5+1.5y-4z$

 III  $3x - 4y + 13z = 8\ |\ change\ of\ sign\ when\ changing\ page\\ 3x=8+4y-13z\ |\ divided\ on\ both\ sides\ by\ 3$

       $x=\frac{8}{3}+\frac{4}{3}y-\frac{13}{3}z$

I = II    $2+2y-3z=3.5+1.5y-4z\ |\ change\ of\ sign\ when\ changing\ page\\ z=1.5-0.5y$

II = III  $3.5+1.5y-4z=\frac{8}{3}+\frac{4}{3}y-\frac{13}{3}z$

to be continued

  !