Question

Solve each equation and match them with the correct solution. Column A 1. \large -3x=42 : \large -3x=42 2. \large \frac{x}{-6}=-9 : \large \frac{x}{-6}=-9 3. \large 5x=-105 : \large 5x=-105 4. \large x+37=-25 : \large x+37=-25 5. \large x-42=-15 : \large x-42=-15 6. \large x-\left(-12\right)=-4 : \large x-\left(-12\right)=-4 7. \large x-\left(-6\right)=5 : \large x-\left(-6\right)=5 8. \large 8-x=-12 : \large 8-x=-12 9. \large -9-x=-6 : \large -9-x=-6 10. \large -6+x=17 : \large -6+x=17 11. \large \frac{x}{9}=-42 : \large \frac{x}{9}=-42 12. \large -16=x-8 : \large -16=x-8 13. \large -25=x+17 : \large -25=x+17 14. \large 36=8-x : \large 36=8-x 15. \large -x+6=11 : \large -x+6=11 16. \large -x+8=4 : \large -x+8=4 17. \large 16=4-x : \large 16=4-x 18. \large 85=-5x : \large 85=-5x 19. \large 21=-\frac{x}{7} : \large 21=-\frac{x}{7} Column B a.x=23 b.x=-378 c.x=20 d.x=-62 e.x=4 f.-16 g.x=-28 h.x=-42 i.x=-147 j.x=54 k.x=27 l.x=-17 m.x=-5 n.x=-21 o.x=-12 p.x=-14 q.x=-8 r.x=-1 s.x=-3

Answer 1

The equations have been solved and are matched with the correct solutions as follows:

1. p. x = -14

2. j. x = 54

3. n. x = -21

4. d. x = -62

5. k. x = 27

6. f. x = -16

7. r. x = -1

8. c. x = 20

9. s. x = -3

10. a. x = 23

11. b. x = -378

12. q. x = -8

13. h. x = -42

14. g. x = -28

15. m. x =-5

16. e. x = 4

17. o. x = -12

18. l. x = -17

19. i. x = -147

1.
`\large -3x=42 : \large -3x=42`

-3x = 42

When we divide both sides by -3:

x = -14

2.
`\large (x)/(-6)=-9 : \large (x)/(-6)=-9`

Multiply both sides by -6:

-6x/-6 = 54

x = 54

3.
`\large 5x=-105 : \large 5x=-105`

Divided both sides by 5:

x = -21

4.
`\large x+37=-25 : \large x+37=-25`

Add -37 to both sides:

x = -62

5.
`\large x-42=-15 : \large x-42=-15`

Add 42 to both sides:

x = 27

6.
`\large x-\left(-12\right)=-4 : \large x-\left(-12\right)=-4`

Subtract 12 from both sides:

x = -16

7.
`\large x-\left(-6\right)=5 : \large x-\left(-6\right)=5`

Subtract 6 from both sides:

x = -1

8.
`\large 8-x=-12 : \large 8-x=-12`

Subtract 8 from both sides:

-x = -20

x = 20

9.
`\large -9-x=-6 : \large -9-x=-6`

Rearranging:

-6 = -9 - x

Add 9 to both sides:

x = -3

10.
`\large -6+x=17 : \large -6+x=17`

Add 6 to both sides:

11.
`\large (x)/(9)=-42 : \large (x)/(9)=-42`

Multiply both sides by 9:

x = -378

12.
`\large -16=x-8 : \large -16=x-8`

x - 8 = -16

Add 8 to both sides:

x = -8

13.
`\large -25=x+17 : \large -25=x+17`

Subtract 17 from both sides:

x = -42

14.
`\large 36=8-x : \large 36=8-x`

Subtract 8 from both sides:

-x = 28

x = -28

15.
`\large -x+6=11 : \large -x+6=11`

Subtract 6 from both sides:

-x = 5

x = -5

16.
`\large -x+8=4 : \large -x+8=4`

Subtract 8 from both sides:

-x = -4

x = 4

17.
`\large 16=4-x : \large 16=4-x`

Subtract 4 from both sides:

-x = 12

x = -12

18.
`\large 85=-5x : \large 85=-5x`

Divide both sides by -5:

-17 = x

x = -17

19.
`\large 21=-(x)/(7) : \large 21=-(x)/(7)`

Multiply both sides by -7

-147 = x

x = -147

Thus, Column A has been matched with Column in solution to each equation.

Answer 2

The answer is below

Explanation:

1) -3x = 42

Divide both sides by -3

-3x/ -3 = 42 / -3

x = -14

Answer: p.x=-14

2)

`(x)/(-6)=-9\\ \\Multiply\ both\ sides\ by\ -6\\\\(x)/(-6)*-6=-9*-6\\\\x=54`

Answer: j. x=54

3) 5x = 105

Divide both sides by 5

5x/ 5 = 105 / 5

x = 21

Answer: n. x=-21

4) x+37=-25

add -37 to both sides

x+37 - 37 =-25 - 37

x = -62

Answer: d. x=-62

5) x-42=-15

add 42 to both sides

x-42 + 42 =-15 + 42

x = 27

Answer: k. x=27

6)x - (-12) = -4

x + 12 = -4

add -12 to both sides:

x + 12 - 12 = -4 - 12

x = -16

Answer: f. x = -16

7) x - (-6) = 5

x + 6 = 5

add -6 to both sides:

x + 6 - 6 = 5 - 6

x = -1

Answer: r. x = -1

8)8-x = -12

8 - x + x + 12 = -12 + x = 12

x = 8 + 12

x = 20

Answer: c) x = 20

9) -9 - x = -6

x = -9 + 6

x = -3

Answer: s. x =-3

10) -6 + x = 17

x = 17 + 6

x = 23

Answer: a. x =23

11)

`(x)/(9) =-42\\multiply\ by \ 9\\\\x = 9*-42=-378`

Answer: b. x = -378

12) -16 = x - 8

x = -16 + 8

x = -8

Answer: q. x = -8

13) -25 = x + 17

x = -25 - 17

x = -42

Answer: h. x = -42

14) 36 = 8 - x

x = 8 - 36

x = -28

Answer: g. x = -28

15) -x + 6 = 11

x = 6 - 11

x = -5

Answer: m. x = -5

16) -x + 8 = 4

x= 8 - 4

x = 4

Answer: e. x =4

17) 16 = 4 -x

x = 4 - 16

x = -12

Answer: o: x = -12

18) 85 = -5x

x = 85/ -5

x = -17

Answer: l. x= -17

19) 21 = -x/7

x = 21 * -7

x = -147

Answer: i. x = -147