Chapter+3

PERIOD 2 Helpful: The videos!
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Need to check if you have the right solution for your system of equations? [|Click here for the Linear System Solver!]  Vocab!!! ** Chapter 3   ** **__ Section 1- __** ** System of two linear equations **** - two variables **** x **** and **** y **** consists of two equations of the following form ** ** Ax + By= C ** ** Equation 1 ** ** Dx+Ey= C ** ** Equation 2 ** ** Solution **** - in a system of linear equations two variables, an ordered pair **** (x,y) **** that satisfies each equation. ** **__ Section 3  __** ** Graph **** - the graph of all solutions in a system of linear equalities ** **__

Section 4 __** ** Optimization **** - finding the minimum or maximum values of some inequalities ** ** Objective function **** - in linear programming, the linear function that is optimized ** ** Constraints **** - in linear programming, the linear inequalities that form a system ** ** Linear programming **** - the process of optimizing a linear objective function subject to a system of linear inequalities called constraints. ** ** Feasible region **** - the graph of the system of constraints ** **__ Section 5 __** ** Ordered triple **** - a set of three numbers that form **** (x,y,z) **** that represent a point in space ** **__ Section 6 __** ** System of three linear equations **** - a system made up of three linear equations in three variables. **  ** x +2y + -3z = -3 **** Equation1 ** ** 2x - 5y + 4z= 13 **** Equation 2 ** ** 5x + 4y – z = 5 ** ** Equation 3 ** ** Solution **** - of such a triple is an ordered triple ****(x,y,z) **** that is a solution to all three equations ** MOTION PICTURES = =   ===<span style="font-size: 170%; color: rgb(18, 236, 14)">Solving Linear Inequalities By Graphing   === media type="custom" key="2274243"

<span style="font-size: 160%; color: rgb(18, 236, 14)">Solving a System of Linear Equations with Three Variables
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= <span style="font-size: 200%; color: rgb(33, 220, 222)">HELPFUL GRAPHICS =

Inconsistent System (Parallel lines)

A Solution to a System of Equations

= <span style="font-size: 200%; color: rgb(33, 220, 222)">SOMEHOW RELATED OCCUPATIONS =

<span style="font-size: 150%; color: rgb(255, 0, 210); font-family: 'Comic Sans MS',cursive">**Careers That Use Chapter 3

Many big businesses use linear programing to maximize profit and minimize costs. <span style="color: rgb(42, 7, 242)">Inventory <span style="color: rgb(80, 0, 255)">Strategists use this method. <span style="color: rgb(59, 1, 254)">Caterers use Linear Systems to figure out the cost of food for the number of guests. <span style="color: rgb(52, 27, 248)">Personal Trainers use Systems of Inequalities to find the ideal heart-rate for their athletes.**