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natima [27]
2 years ago
14

I need help plz help thy. First answer get brainiest

Mathematics
2 answers:
Anna007 [38]2 years ago
8 0

Hello!

\large\boxed{2x - 8 = 7 - 3x \text{ and } 4(x - 1) = x + 5}

We can go through each equation to solve:

1.

x + 3 = 4(x - 1) + 2

Distribute the coefficient outside of the parenthesis:

x + 3 = 4(x) + 4(-1) + 2

Simplify:

x + 3 = 4x - 4 + 2

x + 3 = 4x - 2

Subtract x from both sides:

3 = 3x - 2

Add 2 to both sides:

5 = 3x

Divide both sides by 3:

5/3 = x. This is not the answer.

2.

2x - 8 = 7 - 3x

Add 3x to both sides:

5x - 8 = 7

Add 8 to both sides:

5x = 15

Divide both sides by 5:

5x/5 = 15/5

x = 3. This is an answer.

3.

3(x + 2) = 14 - x

Distribute:

3(x) + 3(2) = 14 - x

3x + 6 = 14 - x

Add x to both sides:

4x + 6 = 14

Subtract 6 from both sides:

4x = 8

Divide both sides by 4:

4x/4 = 8/4

x = 2. This is not an answer.

4.

4(x - 1) = x + 5

Distribute:

4x - 4 = x + 5

Subtract x from both sides:

3x - 4 = 5

Add 4 to both sides:

3x = 9

Divide both sides by 3:

3x/3 = 9/3

x = 3. This is an answer.

5.

5 - 2(x + 1) = x

Distribute:

5 - 2x - 2 = x

Simplify:

3 - 2x = x

Add 2x to both sides:

3 = 3x

Divide both sides by 3:

3/3 = 3x/3

x = 1. This is not an answer.

6.

6(x - 4) = 2x

Distribute:

6x - 24 = 2x

Subtract 6x from both sides:

-24 = -4x

Divide both sides by -4:

-24/(-4) = -4x/(-4)

x = 6. This is not an answer.

natita [175]2 years ago
4 0

Answer:

2x - 8 = 7 - 3x

4(x -1) = x + 5

Step-by-step explanation:

2) 2x - 8 = 7 - 3x

   2x + 3x - 8 = 7

       5x -  8 = 7

              5x = 7 + 8

              5x = 15

                 x = 15/5

                x = 3

4) 4(x -1) = x + 5

   4x - 4 = x + 5

4x - 4 - x = 5

     3x - 4 = 5

           3x = 5 + 4

           3x = 9

             x = 9/3

            x = 3

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9 and 4

Step-by-step explanation:

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Totsakan school is selling tickets to a choral performance on the first day of ticket sales the school sold 10 senior tickets an
ohaa [14]

Given :

On the first day of ticket sales the school sold 10 senior tickets and 1 child ticket for a total of $85 .

The school took in $75 on the second day by selling 5 senior citizens tickets and 7 child tickets.

To Find :

The price of a senior ticket and the price of a child ticket.

Solution :

Let, price of senior ticket and child ticket is x and y respectively.

Mathematical equation of condition 1 :

10x + y = 85    ...1)

Mathematical equation of condition 2 :

5x + 7y = 75    ...2)

Solving equation 1 and 2, we get :

2(2) - (1)   :

2( 5x + 7y - 75 ) - ( 10x +y - 85 ) = 0

10x + 14y - 150 - 10x - y + 85 = 0

13y = 65

y = 5

10x - 5 = 85

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Hence, this is the required solution.

 

5 0
3 years ago
Pls help tyyyyyyyyyy
boyakko [2]
You got this don't worry
7 0
3 years ago
What is the equation for a line that passes through the points (5,-4) and (-10,17
maria [59]

Answer:

The equation of the line is 7 x +5 y = 15.

Step-by-step explanation:

Here the given points are ( 5, -4) & ( -10, 17) -

Equation of a line whose points are given such that

( x_{1},y_{1} ) & ( x_{2}, y_{2}  )-

 y - y_{1}   = \frac{y_{2} - y_{1}  }{x_{2} - x_{1}}  ( x - x_{1}  )

i.e.  <em>y - (-4)= \frac{17 - (-4)}{-10 - 5}  ( x- 5)</em>

<em>      y + 4 = \frac{17 + 4}{ -15} ( x - 5)</em>

<em>      y + 4 = \frac{21}{-15}  ( x - 5 )</em>

<em>      ( y + 4)  =  \frac{7}{- 5} ( x - 5)</em>

<em>      5 (y + 4 ) = - 7 (x - 5 )</em>

<em>      5 y + 20 = -7 x + 35</em>

<em>      7 x + 5 y = 15</em>

Hence the equation of the required line whose passes trough the points ( 5, -4) & ( -10, 17)  is 7 x + 5 y = 15.

7 0
3 years ago
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