Two times the quantity of eight times a number plus two is equal to three the quantity of two times the same number minus seven
a. Write an equation to find the number

b. Solve the equation to find the number.
I NEED HELP ASAPP PLEASEEE

Respuesta :

The unknown number is - 2.5

Let the number = n

The equation will be formed as follows;

  • eight times a number plus two = 8n + 2
  • Two times the quantity of eight times a number plus two = 2(8n + 2)
  • two times the same number minus seven = 2n - 7
  • three the quantity of two times the same number minus seven = 3(2n-7)

Our final equation becomes;

2(8n + 2) = 3(2n-7)

Simplify as follow, to determine the unknown number;

16n + 4 = 6n - 21

16n - 6n = -25

10n = -25

n = -2.5

Thus, the unknown number is - 2.5

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