IMA 102: Advanced Mathematics
2/ 2010
Homework #10
Topics covered: Solving systems of linear equations with two and three variables, and
solving non-linear systems of equations using substitution and elimination (C8.1 – 8.3)
Instructions: For the problems below please complete your work on separate sheets of
paper. Be very careful when copying down the equations, and give yourself plenty of
space to write your work. Clearly indicate your solution.
If you wish to use an online solver to check your answers (google: “systems of equations
solver”) please provide the URL for the solver you used. However, be aware that any
answers you provide without showing your work will not earn points.
Note: most online solvers only work for linear equations and are not good for section III.
I. Linear Systems in Two Variables
1) Solve the system of equations below using substitution. Sketch a graph with both
equations and indicate the solution.
2) Solve the system of equations below using substitution.
3) Solve the system of equations below using elimination.
4) Solve the system of equations below using elimination.
5) Solve the system of equations below using any method you prefer.
6) Solve the system of equations below using any method you prefer.
Homework # 10
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IMA 102: Advanced Mathematics
2/ 2010
II. Linear Systems in Three Variables
7) Solve the system of equations below using back substitution. The spaces in the equations
are left intentionally.
8) Solve the system of equations below using any method you prefer.
9) Solve the system of equations below using any method you prefer.
10)Solve the system of equations below using any method you prefer.
III. Non-linear Systems
11)Solve the system of equations below using substitution.
12)Solve the system of equations below using any method you prefer.
13)Solve the system of equations below using any method you prefer.
Recall:
BONUS: Solve ONE of the system of equations below
Homework # 10
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