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1.
a) 3m - 2 = 4m + 6
3m - 4m = 2 + 6
-m = 8
m = -8
b) 4x - 3 = 2x + 9
4x - 2x = 3 + 9
2x = 12
x = 12/2
x = 6
c) ¼(n + 8) -2 = ½(n - 6)
¼n + 2 - 2 = ½n - 3
¼n - ½n = -3
-¼n = -3
n = -3 ( -4/1)
n = 12
2.
p = 3x - 4
l = x + 1
a) Keliling = 2(p + l)
= 2( 3x - 4 + x + 1 )
= ( 8x - 6 ) cm
b) K = 34 cm
34 = 8x - 6
8x = 34 + 6
x = 40/8
x = 5
p = 3(5)- 4
p = 15 - 4
→ p = 11 cm
l = 34/2 - 11
l = 17 - 11
→ l = 6 cm
Luas = p x l
Luas = 11 x 6
Luas = 66 cm²
3)
hafiz = h
ramzi = r
r - h = 4
r + h = 24
~~~~~~~~~ +
2r = 28
r = 28/2
r = 14
h = 24 - 14
h = 10
umur Hafiz = 10 tahun, umur Ramzi = 14 tahun
nomor 1.]
a.)
3m - 2 = 4m + 6
3m - 4m = 6 + 2
- m = 8
m = -8
b.)
4x - 3 = 2x + 9
4x - 2x = 9 + 3
2x = 12
x = 6
c.)
¼( n + 8 ) - 2 = ½( n - 6 )
¼n + 2 - 2 = ½n - 3
¼n = ½n - 3
——————— ( kalikan 4 )
n = 2n - 12
n - 2n = - 12
- n = - 12
n = 12
nomor 2.]
panjang = ( 3x - 4 ) cm
lebar = ( x + 1 ) cm
a.)
K = 2 ( p + l )
K = 2 ( 3x - 4 + x + 1 )
K = 2 ( 4x - 3 )
K = ( 8x - 6 ) cm
b.)
K = ( 8x - 6 ) cm
34 = 8x - 6
- 8x = - 6 - 34
- 8x = - 40
- x = - 5
x = 5
maka,
panjang = ( 3x - 4 )
= ( 3(5) - 4 )
= ( 15 - 4 )
= 11 cm
lebar = ( x + 1 )
= ( 5 + 1 )
= 6 cm
Luas = p × l
= 11 cm × 6 cm
= 66 cm
nomor 3.]
misal :
Hafiz = H
Ramzi = R
R - H = 4
R + H = 24
—————— +
2R = 28
R = 14 , Ramzi = 14 tahun
R - H = 4
14 - H = 4
H = 14 - 4
H = 10 , Hafiz = 10 tahun