Question

A number, n, decreased by 5, is equal to 3 times the number plus 1. Determine the number.

Answer 1

-3

Explanation:

A number, n, decreased by 5: n - 5

3 times the number +1 = 3*n + 1 = 3n + 1

3n +1 = n -5

Subtract 1 from both sides

3n = n - 5 - 1

3n = n - 6

Subtract 'n' from both sides

3n - n = -6

2n = -6 {Divide both sides by 2}

n = -6/2

n = -3

The number = - 3