Question 11 of 15 (1 point)
4.4 Section Exercise 18
Use the problem-solving flowchart.
Twice the sum of a number and two is seventeen less than five times the number. Find the
number. Round your answer to the nearest integer, if necessary.
The number is

Question

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Respuesta :

absor201 absor201 · Answer 1 · 2019-12-08T15:26:15+01:00

The number is 7

Step-by-step explanation:

Let x be the number

then according to given statement

[tex]2(x+2) = 5x-17[/tex]

Simplifying

[tex]2x+4 = 5x-17[/tex]

Adding 17 on both sides

[tex]2x+4+17 = 5x-17+17\\2x+21 = 5x[/tex]

Subtracting 2x from both sides

[tex]2x+21-2x = 5x - 2x\\21 = 3x\\3x = 21[/tex]

Dividing both sides by 3

[tex]\frac{3x}{3} = \frac{21}{3}\\x = 7[/tex]

Hence,

The number is 7

Keywords: Linear equation, variables

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