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Anuta_ua [19.1K]
1 year ago
15

2x - x + 3x + 5 = 25Solve for X​

Mathematics
2 answers:
MakcuM [25]1 year ago
8 0

Answer:

<h3>The value of the unknown (x) is equal to 5</h3>

Step-by-step explanation:

To find the value of x, we follow these steps:

<em>To solve an equation that is not simplified, what we have to do first is simplify it.</em><em> </em><em>We have to group all the similar terms, in this case, there is only one unknown, so we will have to simplify that:</em>

\rm (2x - x) + 3x + 5 = 25 \\  \rm (x + 3x) + 5 = 25  \\ \rm 4x + 5 = 25

<em>Now when a term is adding, we must go to the other side of the equality to subtract from the other equal term</em><em> </em><em>In this case, +5 is adding, so we must go to the other side of the equal to do the opposite: Subtract this </em><em>to</em><em> 25</em><em>:</em>

\rm4x  = 25 - 5 \\  \rm 4x = 20

<em>Continuing with the opposite operations, we see that 4 multiplies the unknown, so we must go to the other side of the equal to divide 20/4, as follows:</em>

<em>\rm x =  \frac{20}{4}  \\ \boxed{ \:  \:  \:  \:  \:  \:  \rm x = 5 \:  \:  \:   \:  \: \: }</em>

So:

<h3>The value of the unknown (x) is equal to 5</h3>
postnew [5]1 year ago
7 0

Answer:

  • \bf x=5

Step-by-step explanation:

\bf 2x - x + 3x + 5 = 25

Combine like terms.

  • \bf 4x+5=25

Subtract 5 from both sides.

  • \bf 4x+5-5=25-5
  • \bf 4x=20

Divide both sides by 4.

  • \bf \cfrac{4x}{4}=\cfrac{20}{4}
  • \bf x=5
<h3><u>__________________</u></h3>
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2x-2+3x

Step-by-step explanation:

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3 years ago
A biology test is worth 100 points and has 36 questions.
Ad libitum [116K]

Answer:

(a) 7 essays and 29 multiple questions

(b) Your friend is incorrect

Step-by-step explanation:

Represent multiple choice with M and essay with E.

So:

M + E= 36 --- Number of questions

2M + 6E = 100 --- Points

Solving (a): Number of question of each type.

Make E the subject of formula in M + E= 36

E = 36 - M

Substitute 36 - M for E in 2M + 6E = 100

2M + 6(36 - M) = 100

2M + 216 - 6M = 100

Collect Like Terms

2M - 6M = 100 - 216

-4M = - 116

Divide both sides by -4

M = \frac{-116}{-4}

M = 29

Substitute 29 for M in E = 36 - M

E = 36 - 29

E = 7

Solving (b): Can the multiple questions worth 4 points each?

It is not possible.

See explanation.

If multiple question worth 4 points each, then

2M + 6E = 100 would be:

4M + xE = 100

Where x represents the number of points for essay questions.

Substitute 7 for E and 29 for M.

4 * 29 + x * 7 = 100

116 + 7x = 100

Subtract 116 from both sides

116-116 + 7x = 100 -116

7x = 100-116

7x = -16

Make x the subject

x = -\frac{16}{7}

Since the essay question can not have worth negative points.

Then, it is impossible to have the multiple questions worth 4 points

<em>Your friend is incorrect.</em>

6 0
2 years ago
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