SOLUTION: solve the given system of equations x+y+8z=40 x+y+6z=32 x+7y+3z=50

Algebra.Com
Question 802534: solve the given system of equations
x+y+8z=40
x+y+6z=32
x+7y+3z=50

Answer by Alan3354(69443)   (Show Source): You can put this solution on YOUR website!
solve the given system of equations
x+y+8z=40
x+y+6z=32
x+7y+3z=50
------------
All coefficients of x are 1, so eliminate x first.
x+y+8z=40
x+y+6z=32
------------ Subtract
2z = 8
z = 4 even better
=============
x+y+6z=32
x+7y+3z=50
-------------- Subtract
-6y + 3z = -18
-6y + 12 = -18
y = 5
==================
Sub for y & z in any equation to find x

RELATED QUESTIONS

Solve the system of equations. 7x + 7y + z = 1 x + 8y + 8z = 8 9x + y + 9z = 9 (answered by AnlytcPhil)
Use the method of elimintion to solve system 2x+y+3z=30 4x-3y+6z=50... (answered by stanbon)
solve for x,y, and z in the system of equations below. Explain your steps!!!???... (answered by TimothyLamb)
Solve the system of equations. Check your solution. -x+y-3z= -4 3x-2y+8z= 14... (answered by ankor@dixie-net.com)
Solve the folllowing system of linear equations x-4y+2z=-1 2x+y-3z=10... (answered by Alan3354)
If possible, solve the system of equations using an inverse matrix. x+2y+z=-3... (answered by Fombitz)
Solve this system of equations. x+y+z= 11 2x+5y+2z= 31 -x+7y-3z= 1 (answered by Maths68)
write the augmented matrix for the folowing system of equations x-7y+z=15 y+6z=14... (answered by Edwin McCravy)
write the augmented matrix for the following system of equations x-7y+z=15 y+6z=14... (answered by jim_thompson5910)