3. Solve the following equations. (a) 4 = 5(p – 2) (b) – 4 = 5(p – 2) (c) –16 = –5 (2 – p) (d) 10 = 4 + 3(t + 2) (e) 28 = 4 + 3(t + 5) (f) 0 = 16 + 4(m – 6) only answer needed please help i will give 16 points
Answers
Answer:
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Step-by-step explanation:
(a)4 = 5(p - 2)
4 = 5p - 10
4 + 10 = 5p
14 = 5p
14/5 = p
(b) -4 = 5(p -2)
-4 = 5p - 10
-4 + 10 = 5p
6 = 5p
6/5 = p
(c) - 16 = - 5 ( 2- p)
-16 = -10 + 5p
-16 + 10 = 5p
- 6 = 5p
-6/5 = p
(d) 10 = 4 + 3 (t + 2)
10 = 4 + 3t + 6
10 - 4 - 6 = 3t
10 - 10 = 3t
0 = 3t
0/ 3 = t
0 = t
(e) 28 = 4 + 3(t+ 5)
28 = 4 + 3t + 15
28 - 4 -15 = 3t
28 - 19 = 3t
9 = 3t
9/3 = t
3 = t
(f) 0 = 16 + 4(m - 6)
0 = 16 + 4m - 24
0 = 4m - 8
8 = 4m
8/4 = m
2 = m
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continue from here
e) -3t=19-28
-3t =-8
minus minus cancel
3t=8
t=8/3
f) 0=16+4m-24
-4m=-24+16-0
-4m=-8-0
-4m=-8
minus minus cancle
4m =8
m=8/4
m=2/1