How would you go about finding the solution to this system of three equations in 3 variables? Be specific. For example, you might want to add the first two equations first, or multiply the third one by 2 first and use elimination, etc. (No right answer exists.) Read your classmates' methods, and try to come up with a different approach. Remember to be respectful when commenting on your classmates’ ideas.

2x – y + z = 7

x + 2y – 5z = -1

x – y = 6

Question

How would you go about finding the solution to this system of three equations in 3 variables? Be specific. For example, you might want to add the first two equations first, or multiply the third one by 2 first and use elimination, etc. (No right answer exists.) Read your classmates' methods, and try to come up with a different approach. Remember to be respectful when commenting on your classmates’ ideas.

 2x – y + z = 7

x + 2y – 5z = -1

x – y = 6