IMPLEMENTATION OF LINEAR SYSTEM WITH TWO VARIABLES USING GEOMETRY

Abstract

Purpose: This study aims to understand the concept of a two-variable linear equation system by presenting material in the form of line drawings in the field of Cartesian, this is because at the 2013 Junior High School Examination National Examination many students received mathematical grades below the standard. Methodology: In constructing the concept of a system of linear equations, two variables in the Cartesian plane are carried out in stages. The first stage is obtained four system concepts of two-variable linear equations which include the concept of a straight line position in the Cartesian plane, the concept of the point position towards intervals in the Cartesian plane, the concept of the point position towards the line am + bn = c, the concept of the relationship of two lines_1 m + b_1 n = c_1 and a_2 m + b_2 n = c_2. Main Findings: The results of this study are the first stage of the concept of four systems of linear equations which include the concept of straight-line position in the cartesian plane, the concept of point position at intervals in the Cartesian plane, the concept of position points with lines, the concept of two-line relations. Applications of this study: This study is applicable to the junior high school level. Novelty/Originality of this study: a) Evaluating data about constants, intervals for variables and, relations of points with lines, relations of two lines. b) It provides data on stage (a) to visualize various lines determine the position of points against the line, intersect two lines. c) Provide a case for related points a and b to students for evaluation.