+0  
 
0
53
2
avatar

Solve the linear system of equations

 

x - 2y + 3z = 2

2x - 3y + 8z = 7

3x - 4y + 13z = 8

 

please show steps!

 Sep 5, 2020
 #1
avatar+12448 
0

The equation system has no solution.

laugh

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

laugh

 Sep 5, 2020
edited by Omi67  Sep 5, 2020
edited by Omi67  Sep 5, 2020
 #2
avatar+10147 
0

Solve the linear system of equations

x - 2y + 3z = 2

2x - 3y + 8z = 7

3x - 4y + 13z = 8

please show steps!

 

Hello Guest!

 

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

laugh  !

 Sep 5, 2020

39 Online Users