Grade 8 - Chapter 4 - SLETV/SPLDV Part 5

Systems of Linear Equation in Two Variables (SLETV)

Sistem Persamaan Linear Dua Variabel (SPLDV)

Standard of Competence :

2.  Understanding System of Linear Equation in Two variables and Using it in problem solving

Memahami SPLDV dan menggunakannya dalam pemecahan masalah

Basic Competence :

2.2 Solving the mathematics problem of problem which has something to do with SLETV  and its estimate.

Menyelesaikan masalah matematika dengan menggunakan Sistem Persamaan Linear Dua Variabel dan perkiraannya.

Learning Objective :

Students are able to determine the root of linear equations system by :

Siswa dapat menentukan penyelesaian dari sistem persamaan linear dengan menggunakan :

1.       Substitution

2.       Elimination

3.       Elimination and Substitution

4.       Graphic methods

Learning Materials :

Determining the root of  SLETV by :

Menentukan peyelesaian dari SPLDV dengan menggunakan :

1.       Substitution

2.       Elimination

3.       Elimination and Substitution

4.       Graphic methods

Resume Materials :

4.2. Solving SLETV

1. Substitution Method
2. Elimination Method
3. Elimination and Subtitution Method
4. Graph Method

4.      Graph Method

The Graph method solves by graphing the linear equations involved which is done by finding their X- intercept and Y- Intercept

Penyelesaian SPLDV dengan metode grafik adalah pada titik potong antara kedua garis

Example :

Find the solution to the system of equations consisting of x + y = 6 and 2x – y = 0

x + y = 6                                and                       2x – y = 0

X	0	6		X	0	1
Y	6	0		Y	0	2
(x , y)	(0, 6)	(6, 0)		(x, y)	(0, 0)	(1, 2)

.:. The solution  is given x = 2 and y = 4

Exercise :

Find the solution to each of the following systems of equations by Graphic Method

Tentukan penyelesaian sistem persamaan berikut dengan Metode Grafik

1.       x + 2y = 4 and y = -x

2.       x + y = 6 and x – y = 0

3.       3x + 2y – 12 = 0 and x + 2y = 4

4.       X + 3y = 6 and 2x + 6y – 12 = 0

Reference :

•          Adinawan, Cholik. Sugiyono. 2009. Math for Junior High School 1^st  Semester Grade VIII. Jakarta : Erlangga

•          Agus, Nuniek Avianti, 2008. Mudah Belajar Matematika 2 Untuk Kelas VIII SMP/MTs. Jakarta : BSE Departemen Pendidikan Nasional

•          Dirgen Management of Primary and Scondary Education . 2009. Mathematics Grade VIII Junior High School.  Jakarta : Directorate of Junior High School Development

•          Nuharini, Dewi. Tri Wahyuni. 2008. Matematika Konsep dan Aplikasinya Untuk Kelas VIII SMP dan MTs. Jakarta : BSE Departemen Pendidikan Nasional

•          Nugroho,Heru. Lisda Maesaroh. 2009. Matematika SMP  dan MTs Kelas VIII . Jakarta : BSE Departemen Pendidikan Nasional

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Jika mengcopy file ini ke website anda silahkan cantumkan link www.mathematriks.co.cc di website anda , terima kasih

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