tentukan himpunan penyelesaian dari persamaan-persamaan di bawah ini. beserta caranya! a. 5 ( y - 2 ) = 30 b. 2 ( 6x + 2 ) = 2 ( 2x - 6) + 14 c. y + 4 : 2 = 100 d. q = -14 - 2/5q e. 1/2t - 6 = 1/3t + 4 f. 4p/5 + p/4 = 21

tentukan himpunan penyelesaian dari persamaan-persamaan di bawah ini. beserta caranya! a. 5 ( y – 2 ) = 30 b. 2 ( 6x + 2 ) = 2 ( 2x – 6) + 14 c. y + 4 : 2 = 100 d. q = -14 – 2/5q e. 1/2t – 6 = 1/3t + 4 f. 4p/5 + p/4 = 21

A. 5y – 10 = 30
5y = 40
y = 8

b. 2(6x + 2) = 2(2x-6) + 14
12x + 4 = 4x – 12 + 14
12x – 4x = 2 – 4
8x = -2
x = $frac{-2}{8}$
x $frac{-1}{4}$

c. $frac{y + 4}{2}$ = 100
y + 4 = 200
y = 196

[Kalau ":" yang dimaksud bukan pecahan, jawabannya sbb:]
y+2=100
y=98

d. q + $frac{2}{5}$ q = -14
$frac{5}{5}$ q + $frac{2}{5}$ q = -14
$frac{7}{5}$ q = -14
7q = -70
q = -10

e. $frac{1}{2}$ t – $frac{1}{3}$ t = -4 + 6
$frac{3}{6}$ t – $frac{2}{6}$ t = 2
$frac{1}{6}$ t = 2
t = 12

f. $frac{4p}{5}$ + $frac{p}{4}$ = 21
$frac{16p}{20}$ + $frac{5p}{20}$ = 21
$frac{21p}{20}$ = 21
p = 20

A. 5(y – 2) = 30
5y – 10 = 39
5y = 40
y = 40 : 5
y = 8
b. 2(6x + 2) = 2(2x – 6)+1 14
12x + 4 = 4x – 12 + 14
12x + 4 = 4x + 2
12x +4x = 2 – 4
8x = -3
x = – 2/8
c. y + 4 : 2= 100
y + 2 = 100
y = 98
d. q = -14 -2/3q
2/5q + 1/1q = -14
7/5q = -14
q = -14 x 5/7
q = -10
e. 1/2t – 6 = 1/3t + 4
1/2t – 1/3t = 4 + 6
1/6t = 10
t = 10 x 6
t = 60
f. 4/5p + 1/4p = 21
21/20p = 21
p = 21 x 20/21
p = 20