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2 years ago

What is the answer of this problem -7/3(3x-2)=-21 ?

Mathematics

1 answer:

weeeeeb [17]2 years ago

3 0

Answer:

= 11/3

Step-by-step explanation:

1. COMBINE MULTIPLIED TERMS INTO A SINGLE FRACTION

- 7/3 (3x-2)= -21

-7 (3x-2) = -21

-----------------------

2. DISTRIBUTE

-7( 3x- 2) ➗ 3 =-21

3. MULTIPLY ALL TERMS BY THE SAME VALUE TO ELIMINATE FRACTION DENOMINATORS

-21x + 14 ➗ 3 = 3 (-21)

4. CANCEL MULTIPLIED TERMS THAT ARE IN THE DENOMINATOR

3 ( -21x + 14) ➗ 3 (-21)

5. MULIPLY THE NUMBERS

-21x + 14 = 3(-21)

6. SUBTRACT 14 FROM BOTH SIDES OF THE EQUATION

-21x + 14 = -63

7. SIMPLIFY

-21x = - 77

8. DIVIDE BOTH SIDES OF THE EQUATION BY THE SAME TERM

-21x/-21 = -77/-21

9. SIMPLIFY

x = 11/3

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Step-by-step explanation:

We can model this situation with a linear equation of the form

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The slope $m$ is

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3 years ago

Marco has a collection of 437 bottles. Each month he buys 32 bottles .

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2 years ago

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3 years ago

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2 years ago

Which algebraic expression represents the phrase below? five times the sum of a number and eleven, divided by three times the su

anyanavicka [17]

The overall algebraic expression will be: $\frac{5(x+11)}{3(x+8)}$

Definition of algebraic expression -

An expression obtained by a finite number of the fundamental operations of algebra upon symbols representing numbers.

Five times the sum of a number and eleven, divided by three times the sum of the number and eight.

Let the number be x.

Five times the sum of a number and eleven means 5 multiplied to the sum of x and 11. In expression this will be written as:

5(x + 11)

Three times the sum of the number and eight means 3 multiplied to the sum of x and 8. In expression this will be written as:

3(x + 8)

So, the overall algebraic expression will be: $\frac{5(x+11)}{3(x+8)}$

Learn more about algebraic expression

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1 year ago