Systems+of+Equations+&+Inequalities

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​Section 1-

Solution of the System of Linear Equations:Two or more linear equations using the same variables.

Solution of the System of Linear equations: Any ordered pair in a system that makes all the equations of that system true.

 No Solution: When the graphs of the equations in a system are parellel with no point of intersection.

Infinitely Many Solutions: The number of solutions of a system of equations in which the graphs of the equations are the same line.  Section 2-

Substitution Method: A method of solving a system of equations by replacing one variable with an equivalent expression containing the other variable. Example: 2y+x=3 4y-3x=1  4y-3(3-2y)=1 

Section 3-

Elimination Method: A method for solving a system of linear equations. You add or subtract the equations to eliminate a variable. Example: 2y+x=3 4y-3x=1

6y+3y=9 4y-3y=1 10y=10

Section 4-

No vocabulary words in this section.

Section 5-

Linear Inequality: A mathematical sentence that describes a region of the coordinates plane having a boundary line. Each point in the region is a solution of the inequality. Example: //y// = 2//x// + 3 :

<span style="font-family: 'Comic Sans MS',cursive; font-size: 130%;"> Solutions of an Inequality: The coordinates of the points that make the inequality true.

<span style="color: #00ffff; font-family: 'Comic Sans MS',cursive; font-size: 140%;">Section 6-

<span style="font-family: 'Comic Sans MS',cursive; font-size: 130%;">System of Linear Inequalities: Two or more linear inequalities using the same variables. Example: y ≤x+11, y< 5x

Solution of a System of Linear Inequalities: Any ordered pair that makes all of the inequalities in the system true.

Solution Set: The set of all solutions.