Question

Solve each equation.

2.
1.r+11=3
—7
24 — —4
26
—1) — 25
7 13
p
12
Y
& 11
11. t — 14— —29
q + 10
3.
6.
—7=8
10. c-14- 11
13. b +2
—5
16. 5t = 30
19. 15-21
22. 9„+4
= 5n + 18
25. -2Y+17= -13
28. 9-4g= -15
31. -201+7) = 15
14.
17.
29.
32.
35.
= 22
—+7—5
23. 5c-
2(5
12. p — 21 —52
15. -12q
10
21. 3t— 19
24. 311+7=28
27. — 4 =
n 21 —b=ll
36. -3(d
33.
= 84
-8a —11 —37

Answer 1

Explanation:

To solve each equation, I will go through them one by one:

2. r + 11 = 3

Subtract 11 from both sides:

r = 3 - 11

r = -8

6. -7 = 8

This equation is not solvable as it leads to a contradiction. There is no value that satisfies this equation.

10. c - 14 - 11 = 0

Combine like terms:

c - 25 = 0

Add 25 to both sides:

c = 25

13. b + 2 = -5

Subtract 2 from both sides:

b = -5 - 2

b = -7

16. 5t = 30

Divide both sides by 5:

t = 30 / 5

t = 6

19. 15 - 21 = -6

22. 9n + 4 = 5n + 18

Subtract 5n from both sides:

9n - 5n + 4 = 18

Simplify:

4n + 4 = 18

Subtract 4 from both sides:

4n = 18 - 4

4n = 14

Divide both sides by 4:

n = 14 / 4

n = 3.5

25. -2Y + 17 = -13

Subtract 17 from both sides:

-2Y = -13 - 17

-2Y = -30

Divide both sides by -2:

Y = -30 / -2

Y = 15

28. 9 - 4g = -15

Subtract 9 from both sides:

-4g = -15 - 9

-4g = -24

Divide both sides by -4:

g = -24 / -4

g = 6

31. (-20) + 1 = 7

This equation is not solvable as it leads to a contradiction. There is no value that satisfies this equation.

These are the solutions for the given equations