Question

Help.

1. Solve The Equation Algebraically (Show Your Work)
6=x+2/3

2. Solve The Equation Algebraically (Show Your Work)
13+w/7=-18

3. Solve The Equation Algebraically (Show Your Work)
17=-13-8x

Answer 1

Hi,

Here are the solutions.

1.

$6 = x + \frac{2}{3} \\ - x + 6 = \frac{2}{3} \\ - x = \frac{2}{3} - 6 \\ - x = - \frac{16}{3} \\ \\ x = \frac{16}{3} = 5 \frac{1}{3} \: \: \: \: \: \: \: \: \: (result)$


2.

$13 + \frac{w}{7} = - 18 \\ \\ - 5 + \frac{w}{7} \: \: \: \: \: \: \: (result)$


3.

$17 = - 13 - 8x \\ 8x + 17 = - 13 \\ 8x = - 13 - 17 \\ 8x = - 30 \: \: \: | \: \div 8 \\ \\ x = - \frac{15}{4} = - 3 \frac{3}{4} \: \: \: \: \: (result)$


Hope this helps.
r3t40

Answer 2

Answer:

1. A. Open; there is a variable.

2. B. 2

3. B. (6, 2)

4. D. (–2, –10)

5. B. (8, –54)

6. D.

7. C. g = –5

8. B. x = –2

9. A. y = 1.4

10. D. r = –36

11. C. z = -119/11

12. C. 10p + 6 – p = 12p – 3(p – 2)

13. D. 4y+5=4y-6

14. C. infinitely many solutions

15. D. no solution

16. A. $1.90

17. D. y = 6

18. A. z = 4

19. A. x = 7

20. 6=x+2/3

-x+6=2/3

-x=2/3-6

-x=-16/3

x=-16/3=5 1/3

21. 13+w/7=-18

-5+w/7

22. 17=-13-8x

8x+17=-13

8x=-13-17

8x=-30| divided by 8|

x=-15/4=-3 3/4

Hope This Helps