How Can You Solve for A and B Using Points (4,1) and (-5,-3)?

  • Thread starter Thread starter lvlastermind
  • Start date Start date
Click For Summary
SUMMARY

The discussion focuses on solving the linear equations derived from the points (4,1) and (-5,-3) in the form of Ax + By = 7. The equations formed are 4A + B = 7 and -5A - 3B = 7. The recommended method for solving these equations is to use matrix representation and perform row reduction. This approach is straightforward for those familiar with linear algebra concepts.

PREREQUISITES
  • Understanding of linear equations and their solutions
  • Familiarity with matrix representation and row reduction techniques
  • Basic knowledge of integer solutions in algebra
  • Linear Algebra concepts, particularly solving systems of equations
NEXT STEPS
  • Study matrix row reduction techniques in Linear Algebra
  • Learn about integer solutions in linear equations
  • Explore the use of determinants in solving systems of equations
  • Review the concepts of linear combinations and their applications
USEFUL FOR

Students of mathematics, particularly those studying Linear Algebra, educators teaching algebraic concepts, and anyone interested in solving systems of linear equations.

lvlastermind
Messages
101
Reaction score
0
Find integers A and B such that (4,1) and (-5,-3) are solitions to Ax + By = 7
 
Physics news on Phys.org
Plug them into x and y to get:

4A + B = 7

and

-5A + -3B = 7

And solve :smile:
 
try putting the coefficients and answers into a matrix and Row reduce...

oh... sorry, just finished a semester in Linear Algebra :-)

but really... you have 2 equations that are equal to each other ad 2 unknowns... that is easy to solve just read the math book you have (I know, I know who reads a math book :-D )
 

Similar threads

  • · Replies 8 ·
Replies
8
Views
3K
  • · Replies 11 ·
Replies
11
Views
5K
  • · Replies 5 ·
Replies
5
Views
2K
Replies
2
Views
2K
Replies
1
Views
2K
  • · Replies 4 ·
Replies
4
Views
2K
  • · Replies 13 ·
Replies
13
Views
2K
  • · Replies 17 ·
Replies
17
Views
3K
  • · Replies 13 ·
Replies
13
Views
2K