Grade 8 - Chapter 4 - SLETV/SPLDV Part 3

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 peyelesaiandari 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

2.       Elimination Method

Eliminating means Remove

Eliminasi artinya Menghilangkan

Example :

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

Tentukan penyelesaian dari sistem persamaan x + y = 6 dan 2x – y = 0

Method 1 : Eliminating x to find the value of y

                        Eliminasi x untuk mencari nilai y

Method 2: Eliminating y to find the value of x

                        Eliminasi y untuk mencari nilai x

Answer  :

x + y = 6 and 2x – y = 0

Method 1 : Eliminating x

                x + y  =  6     | * 2|  2x + 2y  = 12

                2x – y = 0     | * 1 |  2x – y               = 0   --

                                   3y        = 12

                                     y         = 4

Method 2 : Eliminating y

                  x + y  =  6     | * 1|   x  + y     = 6

                2x – y = 0     | * 1 |  2x – y      = 0   +

                                   3x        = 6

                                     x         = 2

The solution  is given x = 2 and y = 4

Exercise :

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

Tentukan penyelesaian sistem persamaan berikut dengan Metode Eliminasi

1.       x + 2y = 3 and x + 3y = 4

2.       2x + y = 5 and 3x – 2y = 11

3.       4x – 5y = - 12 and 2x + 3y = 16

4.       2x + 3y – 8 = 0 and 3x + 2y – 7 = 0

5.       -2x + 4y = - 6 and 3x + 2y = 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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