bewellplus.gsu.edu
krisselcsstro krisselcsstro
  • 16-03-2015
  • Mathematics
Answered

Solve the system of linear equations and check any solution algebraically

x+y+z=6

2x-y+z=3

3x -z=0

Verified Answer :

baonguyenq1999
baonguyenq1999 baonguyenq1999
  • 16-03-2015

It is pretty long, hope you understand 
  x+y+z=6
+
  2x-y+z=3
-------------
  3x+2z=9
->3x=9-2z (1)

3x-z=0
3x=z (2)

From (1)+(2)-> z=9-2z
solve for z
-3z=9
z=-3 (3)

plug (3) in (2)
->3x=-3
->x=-1 (4)

Plug (3) and (4) in x+y+z=6
-3+y+(-3)=6
solve for y
y-6=6
->y=12
Answer:
x=-1
y=12
z=-3


Answer Link
Panoyin
Panoyin Panoyin
  • 17-03-2015

The answer to the problem is (1, 2, 3).

Answer Link

Related Questions

The volume of a gas decreases from 157 m3 to 112 m3 while the pressure changes from 112 atm to 167 atm If the initial temperature is 245 K what is the final tem
How can you explain how charcoal both floats and sinks in water
Which word in the sentence is the direct object He locates them in dark loose soil a He b locates c soil d them
what is the coefficient of y in the expression 12 plus 3y minus 2x
reading so i have a question about ants so where would you go to see ants building hanging garden houses
What were some key benefits for Europeans during the Age of Exploration Check all that apply There was an increase in mercantilism Kings merchants and bankers i
How did southerners view those who help Radical Republicans
Which sentence best describes the diction of the passage below I screamed toward the goal faked left around a final defender and struck the ball solidly aiming
what is the answer to 33x62
What direction does the po River run