+0  
 
0
59
6
avatar

Solve the following system of equations for all three variables

 

6x + 8y - 3z = -10

2x + 8y - 5z = 2

-5x - 8y + 4z = 7

 Mar 24, 2021
 #1
avatar+721 
+3

your solution for $(x, y, z)$ is $(-3, 1, 0).$ if you would like steps, please tell. otherwise, hope this helped. 

 Mar 24, 2021
 #2
avatar+117787 
+2

6x + 8y - 3z = -10     (1)

2x + 8y - 5z = 2        (2)

-5x - 8y + 4z = 7       (3)

 

Add ( 1)  and (3)   and we have

 

x + z =   -3       (4)

 

Add ( 2)  and (3)  and we have

 

-3x - z  =  9         (5)

 

Add ( 4)  and (5) and we  have  that

 

-2x  =  6

x =  6 /  -2  =  -3

 

And

x + z  = -3

-3 + z  =  -3

z  = 0

 

And

6(-3)  + 8y  - 3(0) = -10

-18   + 8y  = -10

8y  = 8

y  = 1

 

So  ( x,  y , z)  =   ( -3 , 1 , 0)  as CentsLord  found

 

 

cool cool cool

 Mar 24, 2021
 #3
avatar+721 
+4

dude, you just one-upped me like an absolute god

upvote

CentsLord  Mar 24, 2021
 #4
avatar+267 
+1

hi centslordm

KitSoundwave  Mar 24, 2021
 #5
avatar+721 
+3

hello there

CentsLord  Mar 24, 2021
 #6
avatar+117787 
+1

LOL!!!

 

coolcoolcool

CPhill  Mar 24, 2021

32 Online Users

avatar
avatar
avatar
avatar