View Full Version : Two Variable Linear Programming Equations
redorang120
Feb 4, 2007, 07:40 PM
What type of information are you given in a two-variable linear programming problem, and what are you trying to do?
AND
In as general terms as possible, what do you do to solve a linear programming problem in two variables?
thanks!
Fianchetto
Feb 5, 2007, 03:40 AM
What type of information are you given in a two-variable linear programming problem, and what are you trying to do?
AND
In as general terms as possible, what do you do to solve a linear programming problem in two variables?
thanks!
I. Given enough info to derive the equation:
y = mx + b
AND
II. "Solutions", in math, are where the function crosses the x-axis, or, in other words, wherever:
y = 0
or:
x = -\frac bm
In linear equations there will either be one or infinity number of "zeroes" or "solutions". I'll let you chew on the infinity part, but will answer a question if you ask. ;)
Hope this helps!
Fianchetto
Feb 6, 2007, 07:15 PM
In linear equations there will either be one or infinity number of "zeroes" or "solutions". I'll let you chew on the infinity part, but will answer a question if you ask.
another case exists - no "solutions" at all
to graph the equation:
1: let x=0. this is the y-intercept. Plot it.
2: let y=0 this is the x-intercept. Plot it.
3: connect the dots.
:)
an alternate method for solving 2- and 3-variable systems of equations is to apply cramer's rule. See http://library.thinkquest.org/10030/10cramer.htm
:D