Name: ______Mods: ______Date: ______

Solving Systems of Equations Partner Activity

Directions: One partner will solve the problems in the column labeled Partner A and the other will solve the problems in the column labeled Partner B. The answer for each row of questions is the same (i.e. Partner A and Partner B should get the same solution to #1, same solution to #2, etc.). Check your answers with your partner to determine any discrepancies. Use the table below to organize your final answers. Write your work on a separate sheet of paper. Then, answer the following questions.

Partner A / Partner B / Final Answer
Solve using substitution.
1. x – y + 2z = 7
2x + y + z = 8
x – z = 5 / Solve using substitution.
1. 2x – 2y + 4z = 14
6x + 3y + 3z = 24
x – z = 5
Solve using substitution.
2. 2x – y + 2z = 3
x – y – z = 0
–x – 3z = –6 / Solve using substitution.
2. x – ½y + z = 3
–3x + 3y + 3z = 0
x + 3z = 6
Solve using your calculator.
3. x + y + z = 2
2y – 2z = 2
x – 3z = 1 / Solve using your calculator.
3. –2x – 2y – 2z = –4
y – z = 1
–x + 3z = –1
Solve using your calculator
Hint: Can you use another method to solve?
4. x – 3y = 1
–2x + 6y = –8 / Solve using your calculator
Hint: Can you use another method to solve?
4. 3x – 9y = 3
–x + 3y = –4
Solve using elimination.
5. 5x – y = 4
2x – y = 1
/ Solve using elimination.
5. 10x – 2y = 8
10x – 5y = 5
  1. What problem did you find easiest? Hardest? Why?
  2. How did you and your partner handle discrepancies? What did you do to find the correct solution?