SOLUTION: Solve the linear system with a single solution or using the addtion and substitution method.
14)2x-y+3z=14
x+y-2z=-5
3x+y- z=2
18) x-3y+2z=-11
2x-4y+3z=-15
Algebra.Com
Question 187294: Solve the linear system with a single solution or using the addtion and substitution method.
14)2x-y+3z=14
x+y-2z=-5
3x+y- z=2
18) x-3y+2z=-11
2x-4y+3z=-15
3x-5y-4z=5''.
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
Solve each system in three variables
14)
2x-y+3z=14
x+y-2z=-5
3x+y- z=2
------------
Elimination and substitution is one way to do these.
1st, pick a variable to eliminate from 2 of the eqns. Since y has a coeff of 1 in all 3, it's the easiest.
Add eqn 3 to eqn 1, and then subtract it from eqn 2.
2x-y+3z=14
3x+y- z=2
-------------
5x+0y+2z = 16 Eqn A
-------------
x+y-2z=-5
3x+y- z=2
----------
-2x+0y-z = -7 Eqn B
Now there are 2 eqns in x and z
Multiply Eqn A and B by something to get the same coeff for either x or z.
Multiply B by 2 to get 2z in both
5x+0y+2z = 16 Eqn A
-4x-2z = -14 Eqn B times 2
------------- Add these
x = 2
-----
Sub x into Eqn A, find z
z = 3
---------
Sub z and z into any eqn to find y
y = -2
------
x = 2
y = -1
z = 3
----------------
Try this one. email me via the thank you note for help, or to check you work.
18)
x-3y+2z=-11
2x-4y+3z=-15
3x-5y-4z=5
RELATED QUESTIONS
additional assistance requested in understanding how to get a solution
solve the... (answered by richwmiller)
solve the system of equations using elimination or substitition
x-2y+4z=-19
2x+y-3z=14
(answered by haileytucki)
Solve the system using any algebraic method.
1.
x-y+z=5
2y+3z=14
-3y+2z=5... (answered by aswathytony)
Solve the system of equations by using the substitution method.
{2x – 3y=14
{y=x - 5
(answered by mananth,jorel1380)
solve the system of linear equation for x and y using substitution , elimination or... (answered by stanbon)
Solve the following system of equations using Gaussian elimination (with a matrix) and... (answered by checkley71,richwmiller)
solve the linear system using Gaussian elimination method :
2x-3y-6z=-3 ,... (answered by tommyt3rd)
Solve the system by the method of substitution
x+y+3z=-4
-x-y-2z=5... (answered by ewatrrr)
Solve the system using substitution.
3x + 4y − z = 14
x − 5y + 2z = 26... (answered by Alan3354)