Systems+of+Equations+&+Inequalities

Systems of Equations & Inequalities

Substitution Method - method of solving a system of equations in which variables are replaced with algebraic expressions ♣ Example

Elimination Method - method of solving a system of equations in which the system of equations are added togethor to cancel out one variable. ♣Example

Consistent  - systems of equations that have at least one solution

Inconsistent - systems of equations in which there are no solutions (parallel lines)  Independent  - set of equations with one solution  <span style="background-color: #ffff00; font-family: 'Comic Sans MS',cursive; font-size: 120%;">

Dependent <span style="background-color: #ffffff; font-family: 'Comic Sans MS',cursive; font-size: 110%;">- set of equations with infinite solutions

<span style="background-color: #ffff00; font-family: 'Comic Sans MS',cursive; font-size: 120%;"> Linear Inequality <span style="background-color: #ffffff; font-family: 'Comic Sans MS',cursive; font-size: 110%;">- linear equation with an inequality symbol instead of an equal sign <span style="background-color: #ffff00; font-family: 'Comic Sans MS',cursive; font-size: 120%;"> Boundary Line <span style="background-color: #ffffff; font-family: 'Comic Sans MS',cursive; font-size: 110%;">- line of and inequality that divides the coordinate plane in half

<span style="background-color: #ffff00; font-family: 'Comic Sans MS',cursive; font-size: 120%;">System of linear Inequalities <span style="background-color: #ffffff; font-family: 'Comic Sans MS',cursive; font-size: 110%;">- system of linear equations with inequalities instead of equations <span style="background-color: #ffff00; font-family: 'Comic Sans MS',cursive; font-size: 120%;">

Intersection Region <span style="background-color: #ffffff; font-family: 'Comic Sans MS',cursive; font-size: 110%;">- the solution of a pair of inequalities in which the shaded area satisfies both equations