Jawaban:

1. Substitusi

a. x = 2 | y = 1

b. x = 1,41 | y = 0,23

2. Eliminasi

a. x = 3 | y = -1

b. x = 22 | y = 27

Penjelasan dengan langkah-langkah:

1. Substitusi

a. 2x+y = 5 → y = 5-2x

→ 3x-2y = 4 2x+y = 5

3x-2(5-2x) = 4 2(2)+y = 5

3x-10+4x = 4 4+y = 5

7x = 4+10 y = 5-4

x = 14/7 y = 1

x = 2

b. x+3y = 9 → x = 9-3y

→ 3x-y = 4 3x-y = 4

3(9-3y)-y = 4 3x-0,23 = 4

27-9y-y = 4 3x = 4+0,23

-10y = 4-27 x = 4,23/3

y = -23/-10 x = 1,41

y = 0,23

2. Eliminasi

a. 2x+ y = 5 |×2| 4x+2y = 10

3x-2y = 11 |×1| 3x-2y = 11

________ +

7x = 21

x = 21/7

x = 3

2x+ y = 5 |×3| 6x+3y = 15

3x-2y = 11 |×2| 6x-4y = 22

_________ —

7y = -7

y = -7/7

y = -1

b. 3x-2y = 12 |×3| 9x-6y = 36

4x-3y = 7 |×2| 8x-6y = 14

________ —

x = 22

3x-2y = 12 |×4| 12x-8y = 48

4x-3y = 7 |×3| 12x-9y = 21

_________ —

y = 27

CMIIW

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