## Objective:

The student will be able to solve systems of linear equations and linear programming problems, including setting up a system of constraints, graphing the system, and identifying the optimum values.

*Graphical solutions of solving equations*

Two straight lines *y=mx+c* and *y=nx+d* are displayed.

The *x* coordinate of the point at which the lines intersect (indicated by the green arrow) will be the solution to the equation: *mx+c* = *nx+d*

Move points *B* and *C*. When do the fruits change?

How many solutions can such equations have? At most? At least?

Modified by Steven Lapinski, Created with GeoGebra

This link takes you to a linear programming problem with a complete solution, created by EDC, funded by the NSF. edc.org