Question 3: Can you find a new set of equations having the same set of solutions as in question 2 but with less than four equations? Write down a new, simpler set of equations (but still having the same solutions as in question 2) with the least number of equations you can manage.

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
Problem 16EQ
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Please anwser the Question 3
Question 2: What are all the solutions to the set of four equations
x2
1
1
y?
y
x2
2 – y? ?
Hint: A solution could be something like (x, y) = (2,0) (which would mean
that x = 2 and y
= 0 together satisfy all the equations).
Question 3: Can you find a new set of equations having the same set of
solutions as in question 2 but with less than four equations? Write down
a new, simpler set of equations (but still having the same solutions as in
question 2) with the least number of equations you can manage.
Transcribed Image Text:Question 2: What are all the solutions to the set of four equations x2 1 1 y? y x2 2 – y? ? Hint: A solution could be something like (x, y) = (2,0) (which would mean that x = 2 and y = 0 together satisfy all the equations). Question 3: Can you find a new set of equations having the same set of solutions as in question 2 but with less than four equations? Write down a new, simpler set of equations (but still having the same solutions as in question 2) with the least number of equations you can manage.
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