Elimination:
You can add the two equations together, so if there is a negative and positive number that is the same but opposite they can cancel out and you can find the first value

Substitution:
You can find out what value one of the variables has, by just solving for that one variable, and then substitute it with what you found.

Systems of Inequalities

Where the inequalities overlap is where the system is true

Maximize *Equation* subject to *2nd Equation* questions:
Ex.

5y subject to 
x + yS3 
x 20 
Maxi mum

Other example:

5 " 谷 「 当 す 、 3 ) 、 22 〔 準 「 D

Nonlinear Systems and Inequalities:
There might be multiple x and y-values
Usually, use substitution
Ex. quadratic functions will obviously sometimes have 2 solutions

Feasible area:
Where the two or more inequalities overlap

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