Question

Solve the following system by Gauss elimination: x + 2y?z = 22 x + 5y?2z = ?17 x + 17y + 5z = ?1. Solve the system in from above by using Cramer’s rule. First discuss the applicabililty of Cramer’s rule to the system.

Answer #1

Solve each system by elimination.
1) -x-5y-5z=2
4x-5y+4z=19
x+5y-z=-20
2) -4x-5y-z=18
-2x-5y-2z=12
-2x+5y+2z=4
3) -x-5y+z=17
-5x-5y+5z=5
2x+5y-3z=-10
4) 4x+4y+z=24
2x-4y+z=0
5x-4y-5z=12
5) 4r-4s+4t=-4
4r+s-2t=5
-3r-3s-4t=-16
6) x-6y+4z=-12
x+y-4z=12
2x+2y+5z=-15

Solve the following using Gauss-Jordan elimination: x +y + z =
6, 6x +5y + 2z = 31, 4x + y -8z = 9

3x+2y=2,6x+4y=1, 5y+z=-1 solve system of eq using gauss jordan or
gauss elimination

Solve the system of linear equations using the Gauss-Jordan
elimination method
x − 5y = 24
4x + 2y = 8 (x, y) =

3×3 Systems Elimination by Addition
1) 4x-2y-2z=2
-x+3y+2z=-8
4x-5y+z=11
2)-5x-2y+20z=-28
2x-5y+15z=-27
-2x-2y-5z=-12
Please show every step in clear handwriting, so I can
figure out how to do it myself.

1)Solve the system of linear equations, using the Gauss-Jordan
elimination method. (If there is no solution, enter NO SOLUTION. If
there are infinitely many solutions, express your answer in terms
of the parameters t and/or s.)
x1
+
2x2
+
8x3
=
6
x1
+
x2
+
4x3
=
3
(x1,
x2, x3)
=
2)Solve the system of linear equations, using the Gauss-Jordan
elimination method. (If there is no solution, enter NO SOLUTION. If
there are infinitely many solutions, express...

use gauss Jordan to solve
5x+11y+5z=42
x+2y+2z=9
3x+3y+2z=35

1. Solve by via Gauss-Jordan elimination:
a) 2y + 3z = 8
2x + 3y + z =
5
x − y − 2z =
−5
b) x + 3y + 2z = 5
x −
y + 3z = 3
3x + y + 8z = 10
c) 3x1 + x2 + x3 + 6x4 = 14
x1 − 2x2 +
5x3 − 5x4 = −7
4x1 + x2 + 2x3 + 7x4 =
17

Use Gauss-Jordan method (augmented matrix method) to
solve the following systems of linear equations.
Indicate whether the system has a unique solution, infinitely many
solutions, or no solution. Clearly write
the row operations you use.
(a)
x − 2y + z = 8
2x − 3y + 2z = 23
− 5y + 5z = 25
(b)
x + y + z = 6
2x − y − z = 3
x + 2y + 2z = 0

1. Solve the following system of equations by the elimination
method:
2x+y-z=7
x+2y+z=8
x-2y+3z=2
2. Solve the following system of equations by using row
operations on a matrix:
2x+y-z=7
x+2y+z=8
x-2y+3z=2

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