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Luda [366]
3 years ago
14

Given: 18x-2(3x+1)=5x-16 Prove: x=-2

Mathematics
2 answers:
kramer3 years ago
4 0

Answer:

X = -2

Step-by-step explanation:

(If you mean to "check the answer" then the answer above mine would help more)

I hope this answer helps. You should show your work as proof:

We simplify the equation first:

18x−2(3x+1)=5x−16

18x+(−2)(3x)+(−2)(1)=5x+−16 (Distribute)

18x+−6x+−2=5x+−16

(18x+−6x)+(−2)=5x−16 (Combine Like Terms)

12x+−2=5x−16

12x−2=5x−16

Then we cancel out:

12x−2−5x=5x−16−5x

7x−2=−16

7x−2+2=−16+2

7x=−14

7x/7 = −14/7

x = -2

zlopas [31]3 years ago
3 0

Answer:

True

Step-by-step explanation:

Evaluate 18 x - 2 (3 x + 1) = 5 x - 16 where x = -2:

-2×18 - 2 (1 - 2×3) = -2×5 - 16

3 (-2) = -6:

-2×18 - 2 (-6 + 1) = -2×5 - 16

1 - 6 = -5:

-2×18 - 2-5 = -2×5 - 16

18 (-2) = -36:

-36 - 2 (-5) = -2×5 - 16

-2 (-5) = 10:

10 - 36 = -2×5 - 16

5 (-2) = -10:

10 - 36 = -10 - 16

10 - 36 = -26:

-26 = -10 - 16

-10 - 16 = -26:

-26 = -26

-26 is equal to -26:

Answer:  True

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MATH WORD PROBLEM
Sloan [31]

cost of one regular admission ticket = $ 10

cost of one senior citizen ticket = $ 5

<h3><u>Solution:</u></h3>

Let "r" be the cost of one regular admission ticket

Let "s" be the cost of one senior citizen ticket

Given that,

<em><u>On day 1 you sold 30 Regular Admission tickets and  20 Senior Citizen tickets for a total of $400</u></em>

So we can frame a equation as:

30 Regular Admission tickets x cost of one regular admission ticket + 20 Senior Citizen tickets x cost of one senior citizen ticket = $ 400

30 \times r + 20 \times s = 400

30r + 20s = 400 ----- eqn 1

<em><u>Day two you sell 40 Regular Admission tickets and only 10 Senior  Citizen tickets for a total of $450</u></em>

So we can frame a equation as:

40 Regular Admission tickets x cost of one regular admission ticket + 10 Senior Citizen tickets x cost of one senior citizen ticket = $ 450

40 \times r + 10 \times s = 450

40r + 10s = 450 ---- eqn 2

<em><u>Let us solve eqn 1 and eqn 2 to find values of "r" and "s"</u></em>

Multiply eqn 2 by 2

80r + 20s = 900 --- eqn 3

Subtract eqn 1 from eqn 3

80r + 20s = 900

30r + 20s = 400

(-) ---------------------

50r = 500

<h3>r = 10</h3>

Substitute r = 10 in eqn 1

30r + 20s = 400

30(10) + 20s = 400

300 + 20s = 400

20s = 100

<h3>s = 5</h3>

<em><u>Thus we have:</u></em>

cost of one regular admission ticket = $ 10

cost of one senior citizen ticket = $ 5

4 0
4 years ago
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Answer

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Step-by-step explanation:

2x(x+3)

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Answer:

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Step-by-step explanation:

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