SOLUTION: how do you solve the system of equations with these three equations? x-y+z=8 x+y+z=6 x+y-z=-12

Algebra.Com
Question 365371: how do you solve the system of equations with these three equations?
x-y+z=8
x+y+z=6
x+y-z=-12

Answer by Fombitz(32388)   (Show Source): You can put this solution on YOUR website!
1.
2.
3.
Add eq. 1 and eq. 3,



.
.
.
Add eq. 1 and eq. 2,





.
.
.
Then from eq. 2,



RELATED QUESTIONS

x-y+z= 8 x+y+z= 6 x+y-z= - 12 Solve the system of equations (answered by lynnlo)
Solve the system of equations. x-y+z=-8 x+y+z=-6... (answered by vasumathi)
Solve the system of equations. x-y+z=-8 x+y+z=-6... (answered by Fombitz)
solve the system of three linear equations with three variables 4x+y-z=8 x-y+2z=3... (answered by Edwin McCravy)
Solve this system of equations for the values of x , y & z using the Cramer's rule 3/x (answered by tarzan234)
Solve the 3x3 system of equations. x + y + z = 6 x = 2y z = x +... (answered by MathLover1)
Solve the 3x3 system of equations. x + y + z = 6 x = 2y z = x +... (answered by TimothyLamb)
Need help with the problem below.Thanks in advance. Systems of Equations Solve the... (answered by Fombitz)
x+y+z=8 x-y-z=-4 -x+y-z=-8 Please solve this system of... (answered by chitra)