kamiyahcarter12 kamiyahcarter12
  • 22-09-2022
  • Mathematics
contestada

2. Three times the sum of a number and 4 is 21
less than the number times 6. Find the number

Respuesta :

sqdancefan
sqdancefan sqdancefan
  • 22-09-2022

Answer:

  11

Step-by-step explanation:

Given two expressions involving the same unknown number, you want to find the number.

Setup

  3(x +4) . . . . three times the sum of a number and 4

  6x -21 . . . . 21 less than the number times 6

These two expressions have the same value, so we can write the equation ...

  3(x +4) = 6x -21

Solution

Eliminating parentheses, we have ...

  3x +12 = 6x -21

  33 = 3x . . . . . . . . add 21-3x

  11 = x . . . . . . . . . divide by 3

The number is 11.

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