Question

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

Answer #1

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.

Solve the linear system by Gaussian elimination. 2x+2y+2z= 0
–2x+5y+2z= 1 8x+ y+4z=–1

solve system:
2x + 3y + 2z = 3
4x – 5y + 5z = -7
-3x + 7y – 2z = 5

Use Gauss-Jordan Elimination to solve the following system of
equations.
−4x
+
8y
+
4z
= −4
−3x
+
6y
+
3z
= −3
x
−
2y
−
z
= 1

Use Gaussian elimination with backward substitution to solve the
system of linear equations.
x+y-z=-4
-x-4y+4z=1
-4x-3y+2z=15
What is the solution set?

Use
Gaussian Elimination to solve and show all steps:
1. (x+4y=6)
(1/2x+1/3y=1/2)
2. (x-2y+3z=7)
(-3x+y+2z=-5)
(2x+2y+z=3)

Solve using elimination method:
x-2y+3z =4
2x-y+z = -1
4x + y + z = 5
What is z in the solution?

Solve by matrix method
x-y+2z=7
3x+4y-5z=-5
2x-y+3z=12

Solve the following system by Gauss elimination:
2x +
8y + 4z = 2
2x +
5y + z = 5
4x +
10y − z = 3.

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.

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