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3 years ago

Expand and simplify 2(x+7) + 3(x + 1)

Mathematics

2 answers:

allochka39001 [22]3 years ago

5 0

Answer: 10

Step-by-step explanation Simplifying

2x + 7 = 3(x + -1)

Reorder the terms:

7 + 2x = 3(x + -1)

Reorder the terms:

7 + 2x = 3(-1 + x)

7 + 2x = (-1 * 3 + x * 3)

7 + 2x = (-3 + 3x)

Solving

7 + 2x = -3 + 3x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-3x' to each side of the equation.

7 + 2x + -3x = -3 + 3x + -3x

Combine like terms: 2x + -3x = -1x

7 + -1x = -3 + 3x + -3x

Combine like terms: 3x + -3x = 0

7 + -1x = -3 + 0

7 + -1x = -3

Add '-7' to each side of the equation.

7 + -7 + -1x = -3 + -7

Combine like terms: 7 + -7 = 0

0 + -1x = -3 + -7

-1x = -3 + -7

Combine like terms: -3 + -7 = -10

-1x = -10

Divide each side by '-1'.

x = 10

Simplifying

x = 10

bonufazy [111]3 years ago

3 0

Answer:

$5x+17$

Step-by-step explanation:

$2(x+7) + 3(x + 1)$

$=2x+14+3\left(x+1\right)$

$=2x+14+3x+3$

$\mathrm{Group\:like\:terms}$

$=2x+3x+14+3$

$\mathrm{Add\:the\:numbers:}\:14+3=17$

$=2x+3x+17$

$\mathrm{Add\:similar\:elements:}\:2x+3x=5x$

$=5x+17$

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Corresponding solution for 3x-3(x+1)=3 plzzz answer quickly

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schepotkina [342]

Answer:

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Step-by-step explanation:

1. Sort the data

You get

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2. Calculate the range

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3. Calculate the class width

Divide the range by the number of classes

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Round this up to 2.

4. Decide where to start the histogram

You could use classes: 1 - 3, 3 - 5, 5 - 7, 7 - 9, 9 -11

However, even numbers are easier to read.

It would be preferable to use classes: 0 - 2, 2 - 4, 4 - 6, 6 - 8, 8 - 10

5. Prepare a frequency distribution table

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$\begin{array}{cc}\textbf{Miles run} & \textbf{No. of students} \\0 - 2 & 4 \\2 - 4 & 9 \\4 - 6 & 8 \\6 - 8 & 5 \\8 - 10 & 4 \\\end{array}$

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2 years ago

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anyanavicka [17]

Simplifying
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Reorder the terms:
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Solving
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Move all terms containing h to the left, all other terms to the right.

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3 years ago

Solve the system of equations. -4x+7y = 20 & y=3x+15

andreyandreev [35.5K]

Substitute y = 3x + 15 to the equation -4x + 7y = 20:

-4x + 7(3x + 15) = 20 <em>use distributive property</em>

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<h3>Answer: x = -5 and y = 0</h3>

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4 years ago

Expand and simplify 2(x+7) + 3(x + 1)​

Expand and simplify 2(x+7) + 3(x + 1)