System of Equations: Solutions with x > 0 & y < 0

Click For Summary
SUMMARY

The discussion focuses on identifying integer solutions for a system of equations where x > 0 and y < 0. Participants evaluate specific integer sets: a) {-2,2}, b) {0,1}, c) {6,7}, and d) {-3,-1,2}. The consensus is to test each set for validity by substituting values into the equations to determine if they meet the criteria. The elimination process begins with set a), as n = -2 does not yield a valid solution.

PREREQUISITES
  • Understanding of integer solutions in systems of equations
  • Familiarity with basic algebraic manipulation
  • Knowledge of inequalities and their implications
  • Ability to evaluate multiple-choice options systematically
NEXT STEPS
  • Explore methods for solving systems of linear equations
  • Learn about integer programming and its applications
  • Study inequalities and their graphical representations
  • Investigate the implications of variable constraints in mathematical problems
USEFUL FOR

Mathematics students, educators, and anyone interested in solving systems of equations with specific constraints on variable values.

aldrinkleys
Messages
15
Reaction score
0
N integer that satisfies
jkaekg.gif


I mean, the system has solution
with x >0 and y < 0

a) {-2,2}
b) {0,1}
c) {6,7}
d) {-3,-1,2}
 

Attachments

  • jkaekg.gif
    jkaekg.gif
    538 bytes · Views: 406
Physics news on Phys.org
I'm assuming the {} things are choices for n. You might actually just have to solve some equations. Does n=(-2) give a solution with x>0 and y<0? If not then you can eliminate a) and move on to b).
 

Similar threads

  • · Replies 8 ·
Replies
8
Views
2K
  • · Replies 9 ·
Replies
9
Views
3K
  • · Replies 5 ·
Replies
5
Views
2K
  • · Replies 6 ·
Replies
6
Views
2K
  • · Replies 7 ·
Replies
7
Views
2K
  • · Replies 22 ·
Replies
22
Views
4K
Replies
17
Views
3K
  • · Replies 3 ·
Replies
3
Views
2K
  • · Replies 5 ·
Replies
5
Views
2K
Replies
2
Views
3K