Solving Linear Systems Algebraically
Algebraic methods to solving linear systems:
2. Linear Combination (elimination)
* We still have the possibility of one, none,
or infinitely many solutions
Substitution solve one
Algebra II- Notes 3.4 Solving Systems of Linear Equations in
3.4 Solving Systems of Linear Equations in 3-Variables
System of three equation and three variables, (x, y, z) called an
ordered triple. Represents a system in three dimensional spac
Notes 1.7 & 2.7
Solving Absolute Value Equations
| x | = 5 so x = ?
Ex 4. | x | = -7 so x = ?
what could the value of x = ?
When solving you can rewrite the original as two linear equations
Notes 2.8 & 2.7ext
2.8 Graphing Linear Inequalities
than or equal
greater than or equal to
Steps to graphing linear inequalities:
1. Solve equation to slope intercept form and graph
2.1 Relations and Functions
Relation a relation between two variables x and y is a set of ordered pairs. A relation could also be
a mapping or table of values.
Input/Domain the x-values in the relation
2.4 Writing the Equations of a Line
To find the slope: Given two points ( x1 , y1 ) and ( x 2 , y 2 ) , use the formula
Given the slope m and the y-intercept b, y = mx + b
Notes 3.3 Ext. Linear Programming
Many real life problems involve a process called optimization (finding the minimum or maximum
value of something). For example, a company may want to maximize profits. We will learn to find minimums