# Fun With Algebra II

## Solving System of Two Equations

"A System of Equations is a set of two or more equations with the same variable. To solve a System of Two Equations, find the coordinate point that satisfies both Equations"(McGraw-Hill).

## The Different Methods   ## Systems of Three Equations

A system of three equations have three equations and three variables. It is represented in three dimensional space. ## Real World Problem

Seats closest to the amphitheater stage (Section A) cost \$30. Seats in the next section (Section B) cost \$25 and the lawn seats are \$20. There are twice as many seats in section B as there are in Section A. When all the seats (19,200) are sold the amphitheater makes \$456,000. Write and solve a System of Three Equations. ## Graphing System of Linear Inequalities

When graphing a system of linear inequalities, follow the same steps you would for graphing a system of linear equations, but shade the correct region as you would when graphing any inequality. The solution is all points where the shaded regions overlap.

Ex. y>2x-4 and y≤-0.5x+3 ## Linear Programming

Linear Programming

## Next Up on Fun with Algebra II

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