Simultaneous Equations

Examples of Simultaneous Equations

Simultanous equations can be solved with optimization. A typical simutanous equation can be described as

sim_equ1.JPG (5749 bytes)

which can be stated as the following optimization problem

sim_equ2.JPG (3629 bytes)

Example #1:

sim_equ3.JPG (4648 bytes)

Its solution is (10,-3,5).

Example #2:

sim_equ4.JPG (2635 bytes)

Its solutions are (1.4496,0.7247) and (-1.4496,-0.7247).