catelynhope catelynhope
  • 10-12-2019
  • Mathematics
contestada

6.
“Fifteen minus a number is two-thirds of the difference between six times that number and fifteen"

Respuesta :

calculista
calculista calculista
  • 16-12-2019

Answer:

[tex]15-x=\frac{2}{3}(6x-15)[/tex]

The number is five

Step-by-step explanation:

The question is

Write an algebraic expression and find the number

Let

x ---> the number

we know that

The algebraic expression that represent this problem is

[tex]15-x=\frac{2}{3}(6x-15)[/tex]

solve for x

Multiply by 3 both sides to remove the fraction

[tex]45-3x=2(6x-15)[/tex]

[tex]45-3x=12x-30[/tex]

[tex]12x+3x=45+30[/tex]

[tex]15x=75[/tex]

[tex]x=5[/tex]

Answer Link

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