Jawaban:
1. a) Salah, karena -2x = 5 tidak sama dengan -2x = 1
b) Benar, karena 3 = 5x sama dengan 3 = 5x
c) Salah, karena seharusnya dikalikan dengan 4/3
d) Benar, karena x = 6 sama dengan x = 6
e) Benar, karena 6x - 6x = 12 - 8, 0 = 4
2. a) x = − 4, 3x + 7 = –5
3(-4) + 7 = -5
-12 + 7 = -5
-5 = -5
Jadi, persamaan tersebut terbukti Benar.
b) x = − 6, − 3x − 5 = 13
-3(-6) - 5 = 13
18 - 5 = 13
13 = 13
c) x = 12, 1/2 x – 4 = 1/3 x – 2
1/2(12) - 4 = 1/3(12) - 2
6 - 4 = 4 - 2
2 = 2
d) y = 9, (y-7)/2 - 1/3 = ( y-7)/3
(9-7)/2 - 1/3 = (9-7)/3
1 - 1/3 = 2/3
2/3 = 2/3
e) x = 200, 0,2 (x − 50) = 20 − 0,05x
0,2(200 - 50) = 20 - 0,05(200)
0,2(150) = 20 - 10
30 = 10
Jadi, persamaan tersebut terbukti Salah.
3. a) 24m = 12
m = 12/24
m = 1/2
b) 3z + 11 = -28
3z = -39
z = -13
c) 25 - 4y = 6y + 15
25 - 15 = 6y + 4y
10 = 10y
y = 1
d) 1/3(x-2) = 2/3x - 13/3
1/3x - 2/3 = 2/3x -13/3
1/3x - 2/3x = -13/3 + 2/3
-1/3x = -11/3
x = 11
e) 2(1/2x + 3/2) - 7/2 = 3/2(x+1) - (1/2x + 2)
x + 3 - 7/2 = 3/2x + 3/2 -1/2x - 2
x -1/2 = x - 1/2
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Jawaban:
1. a) Salah, karena -2x = 5 tidak sama dengan -2x = 1
b) Benar, karena 3 = 5x sama dengan 3 = 5x
c) Salah, karena seharusnya dikalikan dengan 4/3
d) Benar, karena x = 6 sama dengan x = 6
e) Benar, karena 6x - 6x = 12 - 8, 0 = 4
2. a) x = − 4, 3x + 7 = –5
3(-4) + 7 = -5
-12 + 7 = -5
-5 = -5
Jadi, persamaan tersebut terbukti Benar.
b) x = − 6, − 3x − 5 = 13
-3(-6) - 5 = 13
18 - 5 = 13
13 = 13
Jadi, persamaan tersebut terbukti Benar.
c) x = 12, 1/2 x – 4 = 1/3 x – 2
1/2(12) - 4 = 1/3(12) - 2
6 - 4 = 4 - 2
2 = 2
Jadi, persamaan tersebut terbukti Benar.
d) y = 9, (y-7)/2 - 1/3 = ( y-7)/3
(9-7)/2 - 1/3 = (9-7)/3
1 - 1/3 = 2/3
2/3 = 2/3
Jadi, persamaan tersebut terbukti Benar.
e) x = 200, 0,2 (x − 50) = 20 − 0,05x
0,2(200 - 50) = 20 - 0,05(200)
0,2(150) = 20 - 10
30 = 10
Jadi, persamaan tersebut terbukti Salah.
3. a) 24m = 12
m = 12/24
m = 1/2
b) 3z + 11 = -28
3z = -39
z = -13
c) 25 - 4y = 6y + 15
25 - 15 = 6y + 4y
10 = 10y
y = 1
d) 1/3(x-2) = 2/3x - 13/3
1/3x - 2/3 = 2/3x -13/3
1/3x - 2/3x = -13/3 + 2/3
-1/3x = -11/3
x = 11
e) 2(1/2x + 3/2) - 7/2 = 3/2(x+1) - (1/2x + 2)
x + 3 - 7/2 = 3/2x + 3/2 -1/2x - 2
x -1/2 = x - 1/2