SOLUTION: x+y+z=8 x-y-z=-4 -x+y-z=-8 Please solve this system of equations.

Algebra.Com
Question 65553: x+y+z=8
x-y-z=-4
-x+y-z=-8
Please solve this system of equations.

Answer by chitra(359)   (Show Source): You can put this solution on YOUR website!
The given system of equations are:

x + y + z = 8 -----------(1)

x - y - z = -4 --------- (2)

-x + y - z = -8 -----------(3)


Adding (1) and (2), we get:

2x = 4


this implies x = 2


Adding (2) and (3), we get:

-2z = -12

z = 6

Substituting the values of x and zin (1), we get y = 0

Thus the solution.

x = 2, y = 0 and z = 6

RELATED QUESTIONS

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)
x-y+z= 8 x+y+z= 6 x+y-z= - 12 Solve the system of equations (answered by lynnlo)
Solve the system for x, y and z: x+y+z=8 x-y+z=2... (answered by Alan3354,TigerAlgebra)
Solve this system of equations for the values of x , y & z using the Cramer's rule 3/x (answered by tarzan234)
Solve for X, Y, and Z in the following system of three equations: X + Y + 2Z = 8 X + Y... (answered by checkley71)
Solve the system. x-y+z=0 x+y+z=-2... (answered by Alan3354,ikleyn)
Please help me with this system of equations 2x-3y-z=4 4x+y+z=15... (answered by stanbon)
how do you solve the system of equations with these three equations? x-y+z=8 x+y+z=6 (answered by Fombitz)