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Math Analysis Honors – Worksheet 44
Multivariate Linear Systems
Use substitution to solve the system of equations.
x  3y  z  0
1
2y  3z  1
z  2
3x  y  2z  2
2
y  3z  3
2z  4
Use elimination to solve the system of equations
x yz  0
3
2x  3z  1
x  y  2z  1
Solve the system using any method.
4
x y z 8
2 x  3 y  z  2
5
3x  2 y  9 z  9
2x  2 y  6
x  y  z 1
6
3x  4 y  z  13
x  2 y  3z  7
2x  y  z  4
3x  2 y  2 z  10
Answers:
 25 7

1)  , , 2
 2 2

2)  3, 3,2 
5) 1,2, 2 
6)  2, 1,1
3) 1, 2,1
4)  4, 3,1