Answer:
1. x = 18.4
2. x = -1.25
3. x = ![\frac{5}{12}](https://tex.z-dn.net/?f=%5Cfrac%7B5%7D%7B12%7D)
4. x = 12.3
5. x = 6.4
6. z = 5.8
7. x = ![\frac{1}{12}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B12%7D)
8. x = -![\frac{1}{4}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B4%7D)
9. x = ![\frac{1}{3}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B3%7D)
10. x = -9
11. z = 18
12. x = 7
13. x = -9
14. x = -36
15. x = -7
16. x = 8
17. z = -1.5
18. x = -![\frac{45}{7}](https://tex.z-dn.net/?f=%5Cfrac%7B45%7D%7B7%7D)
19. x = 16
20. x = -12
21. x = ![\frac{8}{3}](https://tex.z-dn.net/?f=%5Cfrac%7B8%7D%7B3%7D)
22. x = -1.6
23. x = 1.8
24. x = -8.2
Step-by-step explanation:
1. x - 3.5 = 14.9 (add 3.5 to each side)
x = 18.4
2. x + 2.25 = 1 (subtract 2.25 from each side)
x = -1.25
3. -
= x -
(add
to each side)
-
= x (multiply
by
and
by
to get a common denominator)
-
= x
= x
4. x - 2.8 = 9.5 (add 2.8 to each side)
x = 12.3
5. x - 8.5 = -2.1 (add 8.5 to each side)
x = 6.4
6. z - 9.4 = -3.6 (add 9.4 to each side)
z = 5.8
7. x +
=
(subtract
from each side)
x =
-
(multiply
by
to get a common denominator)
x =
- ![\frac{10}{12}](https://tex.z-dn.net/?f=%5Cfrac%7B10%7D%7B12%7D)
x = ![\frac{1}{12}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B12%7D)
8. -
+ x = -
(add
to each side)
x =
-
(multiply
by
to get a common denominator)
x =
- ![\frac{13}{12}](https://tex.z-dn.net/?f=%5Cfrac%7B13%7D%7B12%7D)
x = -
= -![\frac{1}{4}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B4%7D)
9. x -
=
(add
to each side)
x =
+
(multiply
by
to get a common denominator)
x =
+ ![\frac{5}{18}](https://tex.z-dn.net/?f=%5Cfrac%7B5%7D%7B18%7D)
x =
=
= ![\frac{1}{3}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B3%7D)
10. x + 6 = -3 (subtract 6 from each side)
x = -9
11. z - 7 = 11 (add 7 to each side)
z = 18
12. -1 = x - 8 (add 8 to each side)
7 = x
13. -4x = 36 (divide each side by -4)
x = -9
14. -
= 12 (multiply each side by -3)
x = -36
15. 63 = -9x (divide each side by -9)
-7 = x
16. 6.4 = 0.8x (divide each side by 0.8)
8 = x
17. -2.8z = 4.2 (divide each side by -2.8)
z = -1.5
18. -
x = 5 (divide each side by -
)
x =
÷ -![\frac{7}{9}](https://tex.z-dn.net/?f=%5Cfrac%7B7%7D%7B9%7D)
x =
(times) -![\frac{9}{7}](https://tex.z-dn.net/?f=%5Cfrac%7B9%7D%7B7%7D)
x = -![\frac{45}{7}](https://tex.z-dn.net/?f=%5Cfrac%7B45%7D%7B7%7D)
19.
x = 8 (divide each side by
)
x = 16
20. -
x = 9 (divide each side by -
)
x = -12
21. -
x = -
(divide each side by -
)
x = -
÷ -![\frac{21}{64}](https://tex.z-dn.net/?f=%5Cfrac%7B21%7D%7B64%7D)
x = -
(times) -![\frac{64}{21}](https://tex.z-dn.net/?f=%5Cfrac%7B64%7D%7B21%7D)
x =
=
= ![\frac{8}{3}](https://tex.z-dn.net/?f=%5Cfrac%7B8%7D%7B3%7D)
22. 1.6x = -3.2 (divide each side by 1.6)
x = -1.6
23. -
= -
x (divide each side by -
)
1.8 = x
24. -2.5x = 20.5 (divide each side by -2.5)
x = -8.2