please help me find out the answer do all
Answers
Step-by-step explanation:
3.
a) 4(x - 2) = 2x + 10
4x - 8 = 2x + 10
4x - 2x = 10 + 8
2x = 18
x = 18/2
x = 9
b) 8(x + 11) = 100
8x + 88 = 100
8x = 100 - 88
8x = 12
x = 12/8
x = 3/2
c) p/2 - 1 = p/3 + 4
3p - 6 = 2p + 24
3p - 2p = 24 + 6
p = 30
d) (5 - x)/2 = 10
5 - x = 10×2
5 - x = 20
- x = 20 - 5
- x = 15
x = - 15
e) 3x - 5 = 2x + 4
3x - 2x = 4 + 5
x = 9
f) 1x/3 - 5 = x + 2
1x - 15 = 3x + 6
1x - 3x = 6 + 15
- 2x = 21
x = 21/(-2)
x = - 21/2
4.
a) 6 is a root of 3y = 18
3(6) = 18
18 = 18
LHS = RHS
Hence, 6 is a root of 3y = 18
b) - 9 is a root of x - 9 = 0
(-9) - 9 = 0
- 18 = 0
LHS is not equal to RHS
Hence, 9 is not a root of x - 9 = 0
c) -2 is a root of p² - 9 = 0
(-2)² - 9 = 0
4 - 9 = 0
- 5 = 0
LHS is not equal to RHS
Hence, -2 is not a root of p² - 9 = 0
d) 3 is a root of 6x = 18
6(3) = 18
18 = 18
LHS = RHS
Hence, 3 is a root of 6x = 18
5.
a) - 11 = 12 - x
- 11 - 12 = - x
- 23 = - x
x = 23
b) x/5 + x/2 = 7
2x + 5x = 70
7x = 70
x = 70/7
x = 10
c) p/6 = 2
p = 2×6
p = 12
d) 40 = 5(2 + y)
40 = 10 + 5y
40 - 10 = 5y
30 = 5y
y = 30/5
y = 6
e) 12x = - 12x + 48
12x + 12x = 48
24x = 48
x = 48/24
x = 2
f) 2(x + 6) = 12
2x + 12 = 12
2x = 12 - 12
2x = 0
x = 0/2
x = 0