SOLUTION: Solve. 2x - y - 3z = -1 2x - y + z = -9 x + 2y - 4z = 17 I got so far as; 2x - y - 3z = -1 4z = -8 3y - 5z = 35 Please help.

Algebra.Com
Question 639160: Solve.
2x - y - 3z = -1
2x - y + z = -9
x + 2y - 4z = 17
I got so far as;
2x - y - 3z = -1
4z = -8
3y - 5z = 35
Please help.

Found 2 solutions by Tatiana_Stebko, Alan3354:
Answer by Tatiana_Stebko(1539)   (Show Source): You can put this solution on YOUR website!

Multiply the third equation by 2

Subtract the first equation from the second and from the third equations

From the second equation
Substitute into the third equation



Substitute into the first equation



Answer:

Answer by Alan3354(69443)   (Show Source): You can put this solution on YOUR website!
Solve.
2x - y - 3z = -1
2x - y + z = -9
x + 2y - 4z = 17
I got so far as;
2x - y - 3z = -1
4z = -8
3y - 5z = 35
Please help.
==================
You have z = -2 from eqn 1 & 2.
4z = -8
z = -2
--------
3y - 5z = 35 **** I don't know about that.
---
2x - y + z = -9
x + 2y - 4z = 17
---
2x - y + z = -9
2x + 4y -8z = 34 times 2
------------------ Subtract
-5y + 9z = -43
Sub for z
-5y - 18 = -43
y = 5
-------
Sub for y & z in any eqn to find x.

RELATED QUESTIONS

2x-y+z=1 x+2y+3z=8... (answered by Edwin McCravy)
2x+y+z=1, x-2y-3z=1, 3x+2y+4z=5 solve in cramer's... (answered by Fombitz)
X+3Y+5Z+2W=2 -Y+3Z+4W=0 2X+Y+9Z+6W=-3... (answered by Solver92311)
Solve the system of equations: {2x+y-3z=1}... (answered by jim_thompson5910)
Solve the equations by using elimination method and Use determinants to solve systems of... (answered by Theo)
Please help me solve the system 2x-3y+4z= -14 4x+2y-3z= -17 6x-5y+7z= -37 find... (answered by Alan3354,Boreal)
Solve by substituting x + y + z = 8 -3x + 2y + 4z = 8 2x + 5y + 3z =... (answered by ankor@dixie-net.com)
Solve. If the system's equations are dependent or it there is no solution, state this. (answered by Alan3354)
Solve. If the system's equations are dependent or it there is no solution, state this. (answered by solver91311)