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Ivahew [28]
3 years ago
14

How do you solve (7x + 5) - (3x + 2)

Mathematics
2 answers:
Gre4nikov [31]3 years ago
7 0

Answer:

When solving equations like this, you have to use a method called PEMDAS.

This stands for:

<h3>P- Parentesis</h3><h3>E- Exponents</h3><h3>M- Multiply</h3><h3>D- Divide</h3><h3>A- Addition</h3><h3>S- Subtraction</h3>

(7x + 5) - (3x +2)

Let's work it out...

Step one) Distribute the equation

Distributing the equation helps simplify it and make solving much easier.

(7x−5) − 1(3x−2)

(7x−5) − 3x + 2

Step two) Eliminate the Parenthesis

Now that the equation is simplified, you can take out the Parenthesis.

(7x − 5) − 3x + 2

7x − 5 − 3x + 2

Step three: Add the numbers

Add the two whole numbers together (-5 + 2)

7x − 5 − 3x + 2

7x − 3 − 3x

Step four: Combine like terms

Combine like terms or the numbers with variables (7x - 3x)

7x − 3 − 3x

4x − 3

Solution

<h2>4x - 3</h2>

Hope this helped! :)

Korolek [52]3 years ago
6 0

Answer:

x = 0.75

Step-by-step explanation:

Simplifying

(7x + -5) + -1(3x + -2) = 0

Reorder the terms:

(-5 + 7x) + -1(3x + -2) = 0

Remove parenthesis around (-5 + 7x)

-5 + 7x + -1(3x + -2) = 0

Reorder the terms:

-5 + 7x + -1(-2 + 3x) = 0

-5 + 7x + (-2 * -1 + 3x * -1) = 0

-5 + 7x + (2 + -3x) = 0

Reorder the terms:

-5 + 2 + 7x + -3x = 0

Combine like terms: -5 + 2 = -3

-3 + 7x + -3x = 0

Combine like terms: 7x + -3x = 4x

-3 + 4x = 0

Solving

-3 + 4x = 0

Solving for variable 'x'.

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

Add '3' to each side of the equation.

-3 + 3 + 4x = 0 + 3

Combine like terms: -3 + 3 = 0

0 + 4x = 0 + 3

4x = 0 + 3

Combine like terms: 0 + 3 = 3

4x = 3

Divide each side by '4'.

x = 0.75

Simplifying

x = 0.75

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How can this same solution be written using set builder notation? {x | x &gt; }?
skad [1K]

<u>Corrected Question</u>

The solution to an inequality is represented by the number line. How can this same solution be written using set-builder notation? {x | x > }

Answer:

\{x | x >3 \}

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Given an inequality whose solution is represented by the number line attached below.

We observe the following from the number line

There is an open circle at 3, therefore the solution set does not include 3. (We make use of > or < in cases like that)

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3 years ago
If the third of 6 consecutive numbers is 12, what is their sum?
Oksana_A [137]

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Step-by-step explanation:

If the third of 6 consecutive numbers is 12, what is their sum?

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