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Maslowich
4 years ago
13

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
Mathematics
1 answer:
ella [17]4 years ago
5 0

Answer:

The answer is below

Step-by-step explanation:

1) -3x = 42

Divide both sides by -3

-3x/ -3 = 42 / -3

x = -14

Answer: p.x=-14

2)

\frac{x}{-6}=-9\\ \\Multiply\ both\ sides\ by\ -6\\\\\frac{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)

\frac{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

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n = {2, 5, 0} holds true for 2n - 3 < 9

<em><u>Solution:</u></em>

Replacement set is the set of values that may be substituted for the variable.

Plug in each value from the replacement set and evaluate both sides of the inequality

If the inequality is true for a certain value, that value belongs in the solution set.

<em><u>Given equation is:</u></em>

2n - 3 < 9

<em><u>Substitute n = 2</u></em>

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<em><u>Substitute n = 0</u></em>

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There were 42 students who took a test in mathematics.there were 36 students who passed test 1, and there were 38 who passed tes
Keith_Richards [23]
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