Tentukan himpunan penyelesaian sistem persamaan berikut dengan menggunakan metode eliminasi !

Jawaban:

a. HP = {0 , 1}

b. HP = {4 ,0}

c. HP = {7 , 1}

Penjelasan dengan langkah-langkah:

a

x + y = 1

x + 5y = 5

_________ –

-4y = -4

y = 1

x + y = 1

x + 1 = 1

x = 0

HP = {0 , 1}

b

3x + 2y = 12

2x – y = 8 | ×2

3x + 2y = 12

4x – 2y = 16

__________ +

7x = 28

x = 4

2x – y = 8

2(4) – y = 8

8 – y = 8

-y = 0

y = 0

HP = {4 ,0}

c

2x – 4y = 10

x + 2y = 9 | ×2

2x – 4y = 10

2x + 4y = 18

__________ –

-8y = -8

y = 1

x + 2y = 9

x + 2(1) = 9

x + 2 = 9

x = 7

HP = {7 , 1}